Deck 28: Graphs of Other Trigonometric Functions

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Question
Determine whether the function below is even,odd,or neither.​ <strong>Determine whether the function below is even,odd,or neither.​   ​</strong> A)Even B)Odd C)Neither <div style=padding-top: 35px>

A)Even
B)Odd
C)Neither
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Question
Consider the function given by​ <strong>Consider the function given by​   ​ Use a graphing utility to select the graph of the function. ​</strong> A)​​   B)​   C)​   D)​​   E)​​   <div style=padding-top: 35px> ​ Use a graphing utility to select the graph of the function.

A)​​ <strong>Consider the function given by​   ​ Use a graphing utility to select the graph of the function. ​</strong> A)​​   B)​   C)​   D)​​   E)​​   <div style=padding-top: 35px>
B)​ <strong>Consider the function given by​   ​ Use a graphing utility to select the graph of the function. ​</strong> A)​​   B)​   C)​   D)​​   E)​​   <div style=padding-top: 35px>
C)​ <strong>Consider the function given by​   ​ Use a graphing utility to select the graph of the function. ​</strong> A)​​   B)​   C)​   D)​​   E)​​   <div style=padding-top: 35px>
D)​​ <strong>Consider the function given by​   ​ Use a graphing utility to select the graph of the function. ​</strong> A)​​   B)​   C)​   D)​​   E)​​   <div style=padding-top: 35px>
E)​​ <strong>Consider the function given by​   ​ Use a graphing utility to select the graph of the function. ​</strong> A)​​   B)​   C)​   D)​​   E)​​   <div style=padding-top: 35px>
Question
Select the graph of the function below.Include two full periods.​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Use a graphing utility to select the graph of the two equations in the same viewing window.Use the graphs to determine whether the expressions are equivalent.​ <strong>Use a graphing utility to select the graph of the two equations in the same viewing window.Use the graphs to determine whether the expressions are equivalent.​   ​</strong> A)​   The expressions are equivalent except Sinx = 0,y<sub>1</sub> is undefined. B)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. C)​   The expressions are equivalent except when Sinx = 0,y<sub>1</sub> is undefined. D)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. E)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. <div style=padding-top: 35px>

A)​ <strong>Use a graphing utility to select the graph of the two equations in the same viewing window.Use the graphs to determine whether the expressions are equivalent.​   ​</strong> A)​   The expressions are equivalent except Sinx = 0,y<sub>1</sub> is undefined. B)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. C)​   The expressions are equivalent except when Sinx = 0,y<sub>1</sub> is undefined. D)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. E)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. <div style=padding-top: 35px> The expressions are equivalent except
Sinx = 0,y1 is undefined.
B)​ <strong>Use a graphing utility to select the graph of the two equations in the same viewing window.Use the graphs to determine whether the expressions are equivalent.​   ​</strong> A)​   The expressions are equivalent except Sinx = 0,y<sub>1</sub> is undefined. B)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. C)​   The expressions are equivalent except when Sinx = 0,y<sub>1</sub> is undefined. D)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. E)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. <div style=padding-top: 35px> The expressions are equivalent except when sinx = 0,y1 is undefined.
C)​ <strong>Use a graphing utility to select the graph of the two equations in the same viewing window.Use the graphs to determine whether the expressions are equivalent.​   ​</strong> A)​   The expressions are equivalent except Sinx = 0,y<sub>1</sub> is undefined. B)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. C)​   The expressions are equivalent except when Sinx = 0,y<sub>1</sub> is undefined. D)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. E)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. <div style=padding-top: 35px> The expressions are equivalent except when
Sinx = 0,y1 is undefined.
D)​ <strong>Use a graphing utility to select the graph of the two equations in the same viewing window.Use the graphs to determine whether the expressions are equivalent.​   ​</strong> A)​   The expressions are equivalent except Sinx = 0,y<sub>1</sub> is undefined. B)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. C)​   The expressions are equivalent except when Sinx = 0,y<sub>1</sub> is undefined. D)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. E)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. <div style=padding-top: 35px> The expressions are equivalent except when sinx = 0,y1 is undefined.
E)​ <strong>Use a graphing utility to select the graph of the two equations in the same viewing window.Use the graphs to determine whether the expressions are equivalent.​   ​</strong> A)​   The expressions are equivalent except Sinx = 0,y<sub>1</sub> is undefined. B)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. C)​   The expressions are equivalent except when Sinx = 0,y<sub>1</sub> is undefined. D)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. E)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. <div style=padding-top: 35px> The expressions are equivalent except when sinx = 0,y1 is undefined.
Question
State the period of the function:​ <strong>State the period of the function:​   ​</strong> A)   B)   C)   D)   E)1 <div style=padding-top: 35px>

A) <strong>State the period of the function:​   ​</strong> A)   B)   C)   D)   E)1 <div style=padding-top: 35px>
B) <strong>State the period of the function:​   ​</strong> A)   B)   C)   D)   E)1 <div style=padding-top: 35px>
C) <strong>State the period of the function:​   ​</strong> A)   B)   C)   D)   E)1 <div style=padding-top: 35px>
D) <strong>State the period of the function:​   ​</strong> A)   B)   C)   D)   E)1 <div style=padding-top: 35px>
E)1
Question
Determine whether the function below is even,odd,or neither.​ <strong>Determine whether the function below is even,odd,or neither.​   ​</strong> A)Neither B)Odd C)Even <div style=padding-top: 35px>

A)Neither
B)Odd
C)Even
Question
A plane flying at an altitude of a miles above a radar antenna will pass directly over the radar antenna (see figure).Let d be the ground distance from the antenna to the point directly under the plane and let x be the angle of elevation to the plane from the antenna. <strong>A plane flying at an altitude of a miles above a radar antenna will pass directly over the radar antenna (see figure).Let d be the ground distance from the antenna to the point directly under the plane and let x be the angle of elevation to the plane from the antenna.   . ​ (d is positive as the plane approaches the antenna. ) Write d as a function of x.​  </strong> A)d = 8 csc x B)d = 8 cot x C)d = 8 cos x D)d = 8 tan x E)d = 8 sin x <div style=padding-top: 35px> . ​
(d is positive as the plane approaches the antenna. )
Write d as a function of x.​ <strong>A plane flying at an altitude of a miles above a radar antenna will pass directly over the radar antenna (see figure).Let d be the ground distance from the antenna to the point directly under the plane and let x be the angle of elevation to the plane from the antenna.   . ​ (d is positive as the plane approaches the antenna. ) Write d as a function of x.​  </strong> A)d = 8 csc x B)d = 8 cot x C)d = 8 cos x D)d = 8 tan x E)d = 8 sin x <div style=padding-top: 35px>

A)d = 8 csc x
B)d = 8 cot x
C)d = 8 cos x
D)d = 8 tan x
E)d = 8 sin x
Question
Select the graph of the function below.Include two full periods.​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
State the period of the function:​ <strong>State the period of the function:​   ​</strong> A)​14 B)10 C)   D)   E)12 <div style=padding-top: 35px>

A)​14
B)10
C) <strong>State the period of the function:​   ​</strong> A)​14 B)10 C)   D)   E)12 <div style=padding-top: 35px>
D) <strong>State the period of the function:​   ​</strong> A)​14 B)10 C)   D)   E)12 <div style=padding-top: 35px>
E)12
Question
State the period of the function:​ <strong>State the period of the function:​   ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>

A) <strong>State the period of the function:​   ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>
B) <strong>State the period of the function:​   ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>
C) <strong>State the period of the function:​   ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>
D) <strong>State the period of the function:​   ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>
E) <strong>State the period of the function:​   ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>
Question
Select the graph of the function below.Include two full periods.​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Consider the functions given by​ <strong>Consider the functions given by​   on the interval (0,π). Describe the behavior of each of the functions as x approaches π. ​</strong> A)f approaches 2 and g approaches +∞. B)f approaches 0 and g approaches +∞. C)f approaches +∞ and g approaches 0. D)f approaches 0 and g approaches   . E)f approaches 2 and g approaches   . <div style=padding-top: 35px> on the interval (0,π). Describe the behavior of each of the functions as x approaches π.

A)f approaches 2 and g approaches +∞.
B)f approaches 0 and g approaches +∞.
C)f approaches +∞ and g approaches 0.
D)f approaches 0 and g approaches <strong>Consider the functions given by​   on the interval (0,π). Describe the behavior of each of the functions as x approaches π. ​</strong> A)f approaches 2 and g approaches +∞. B)f approaches 0 and g approaches +∞. C)f approaches +∞ and g approaches 0. D)f approaches 0 and g approaches   . E)f approaches 2 and g approaches   . <div style=padding-top: 35px> .
E)f approaches 2 and g approaches <strong>Consider the functions given by​   on the interval (0,π). Describe the behavior of each of the functions as x approaches π. ​</strong> A)f approaches 2 and g approaches +∞. B)f approaches 0 and g approaches +∞. C)f approaches +∞ and g approaches 0. D)f approaches 0 and g approaches   . E)f approaches 2 and g approaches   . <div style=padding-top: 35px> .
Question
State the period of the function:​ <strong>State the period of the function:​   ​</strong> A)​   B)6 C)8 D)   E)12 <div style=padding-top: 35px>

A)​ <strong>State the period of the function:​   ​</strong> A)​   B)6 C)8 D)   E)12 <div style=padding-top: 35px>
B)6
C)8
D) <strong>State the period of the function:​   ​</strong> A)​   B)6 C)8 D)   E)12 <div style=padding-top: 35px>
E)12
Question
State the period of the function:​ <strong>State the period of the function:​   ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>

A) <strong>State the period of the function:​   ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>
B) <strong>State the period of the function:​   ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>
C) <strong>State the period of the function:​   ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>
D) <strong>State the period of the function:​   ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>
E) <strong>State the period of the function:​   ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​ <div style=padding-top: 35px>
Question
Select the graph of the function below.Include two full periods.​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
State the period of the function: ​​ <strong>State the period of the function: ​​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>

A) <strong>State the period of the function: ​​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
B) <strong>State the period of the function: ​​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
C) <strong>State the period of the function: ​​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
D) <strong>State the period of the function: ​​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
E) <strong>State the period of the function: ​​   ​</strong> A)   B)   C)   D)   E)   <div style=padding-top: 35px>
Question
Use a graphing utility to select the graph of the function:​ <strong>Use a graphing utility to select the graph of the function:​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Use a graphing utility to select the graph of the function:​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use a graphing utility to select the graph of the function:​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use a graphing utility to select the graph of the function:​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use a graphing utility to select the graph of the function:​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use a graphing utility to select the graph of the function:​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Select the graph of the function below.Include two full periods.​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Use a graphing utility to select the graph of the function:​ <strong>Use a graphing utility to select the graph of the function:​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Use a graphing utility to select the graph of the function:​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use a graphing utility to select the graph of the function:​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use a graphing utility to select the graph of the function:​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use a graphing utility to select the graph of the function:​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use a graphing utility to select the graph of the function:​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Select the graph of the function below.Include two full periods.​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Describe the behavior of the function below as x approaches <strong>Describe the behavior of the function below as x approaches   .​   ​</strong> A)f → +∞ as x →   . B)f → 0 as x →   . C)f → -∞ as x →   . D)f → 1 as x →   . E)f → -1 as x →   . <div style=padding-top: 35px> .​ <strong>Describe the behavior of the function below as x approaches   .​   ​</strong> A)f → +∞ as x →   . B)f → 0 as x →   . C)f → -∞ as x →   . D)f → 1 as x →   . E)f → -1 as x →   . <div style=padding-top: 35px>

A)f → +∞ as x → <strong>Describe the behavior of the function below as x approaches   .​   ​</strong> A)f → +∞ as x →   . B)f → 0 as x →   . C)f → -∞ as x →   . D)f → 1 as x →   . E)f → -1 as x →   . <div style=padding-top: 35px> .
B)f → 0 as x → <strong>Describe the behavior of the function below as x approaches   .​   ​</strong> A)f → +∞ as x →   . B)f → 0 as x →   . C)f → -∞ as x →   . D)f → 1 as x →   . E)f → -1 as x →   . <div style=padding-top: 35px> .
C)f → -∞ as x → <strong>Describe the behavior of the function below as x approaches   .​   ​</strong> A)f → +∞ as x →   . B)f → 0 as x →   . C)f → -∞ as x →   . D)f → 1 as x →   . E)f → -1 as x →   . <div style=padding-top: 35px> .
D)f → 1 as x → <strong>Describe the behavior of the function below as x approaches   .​   ​</strong> A)f → +∞ as x →   . B)f → 0 as x →   . C)f → -∞ as x →   . D)f → 1 as x →   . E)f → -1 as x →   . <div style=padding-top: 35px> .
E)f → -1 as x → <strong>Describe the behavior of the function below as x approaches   .​   ​</strong> A)f → +∞ as x →   . B)f → 0 as x →   . C)f → -∞ as x →   . D)f → 1 as x →   . E)f → -1 as x →   . <div style=padding-top: 35px> .
Question
Describe the behavior of the function below as x approaches zero.​ <strong>Describe the behavior of the function below as x approaches zero.​   ​</strong> A)f → -∞ as x → 0. B)f → -1 as x → 0. C)f → 1 as x → 0. D)f → +∞ as x → 0. E)f → 0 as x → 0. <div style=padding-top: 35px>

A)f → -∞ as x → 0.
B)f → -1 as x → 0.
C)f → 1 as x → 0.
D)f → +∞ as x → 0.
E)f → 0 as x → 0.
Question
Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
The projected monthly sales (in thousands of units)of lawn mowers (a seasonal product)are modeled by​ <strong>The projected monthly sales (in thousands of units)of lawn mowers (a seasonal product)are modeled by​   ​ where t is the time (in months),with t = 1 corresponding to January.Select the graph of the sales function over 1 year. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> ​ where t is the time (in months),with t = 1 corresponding to January.Select the graph of the sales function over 1 year.

A)​ <strong>The projected monthly sales (in thousands of units)of lawn mowers (a seasonal product)are modeled by​   ​ where t is the time (in months),with t = 1 corresponding to January.Select the graph of the sales function over 1 year. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>The projected monthly sales (in thousands of units)of lawn mowers (a seasonal product)are modeled by​   ​ where t is the time (in months),with t = 1 corresponding to January.Select the graph of the sales function over 1 year. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>The projected monthly sales (in thousands of units)of lawn mowers (a seasonal product)are modeled by​   ​ where t is the time (in months),with t = 1 corresponding to January.Select the graph of the sales function over 1 year. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>The projected monthly sales (in thousands of units)of lawn mowers (a seasonal product)are modeled by​   ​ where t is the time (in months),with t = 1 corresponding to January.Select the graph of the sales function over 1 year. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>The projected monthly sales (in thousands of units)of lawn mowers (a seasonal product)are modeled by​   ​ where t is the time (in months),with t = 1 corresponding to January.Select the graph of the sales function over 1 year. ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Describe the behavior of the function below as x approaches zero.​ <strong>Describe the behavior of the function below as x approaches zero.​   ​</strong> A)f → 0 as x → 0. B)f → -1 as x → 0. C)f → 1 as x → 0. D)f → -∞ as x → 0. E)f → +∞ as x → 0. <div style=padding-top: 35px>

A)f → 0 as x → 0.
B)f → -1 as x → 0.
C)f → 1 as x → 0.
D)f → -∞ as x → 0.
E)f → +∞ as x → 0.
Question
Use a graphing utility to select the graph of the function​ <strong>Use a graphing utility to select the graph of the function​   ​ ​</strong> A)​   B)​   C)​   D)​   E)   ​ <div style=padding-top: 35px> ​ ​

A)​ <strong>Use a graphing utility to select the graph of the function​   ​ ​</strong> A)​   B)​   C)​   D)​   E)   ​ <div style=padding-top: 35px>
B)​ <strong>Use a graphing utility to select the graph of the function​   ​ ​</strong> A)​   B)​   C)​   D)​   E)   ​ <div style=padding-top: 35px>
C)​ <strong>Use a graphing utility to select the graph of the function​   ​ ​</strong> A)​   B)​   C)​   D)​   E)   ​ <div style=padding-top: 35px>
D)​ <strong>Use a graphing utility to select the graph of the function​   ​ ​</strong> A)​   B)​   C)​   D)​   E)   ​ <div style=padding-top: 35px>
E) <strong>Use a graphing utility to select the graph of the function​   ​ ​</strong> A)​   B)​   C)​   D)​   E)   ​ <div style=padding-top: 35px>
Question
Determine whether the function below is even,odd,or neither.​ <strong>Determine whether the function below is even,odd,or neither.​   ​</strong> A)Neither B)Even C)Odd <div style=padding-top: 35px>

A)Neither
B)Even
C)Odd
Question
Describe the behavior of the function below as x approaches π-.​ <strong>Describe the behavior of the function below as x approaches π<sup>-</sup>.​   ​</strong> A)f → -∞ as x → π<sup>-</sup>. B)f → +∞ as x → π<sup>-</sup>. C)f → 1 as x → π<sup>-</sup>. D)f → 0 as x → π<sup>-</sup>. E)f → -1 as x → π<sup>-</sup>. <div style=padding-top: 35px>

A)f → -∞ as x → π-.
B)f → +∞ as x → π-.
C)f → 1 as x → π-.
D)f → 0 as x → π-.
E)f → -1 as x → π-.
Question
Determine whether the function below is even,odd,or neither. ​​ <strong>Determine whether the function below is even,odd,or neither. ​​   ​</strong> A)Even B)Odd C)Neither <div style=padding-top: 35px>

A)Even
B)Odd
C)Neither
Question
Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Describe the behavior of the function below as x approaches zero.​ <strong>Describe the behavior of the function below as x approaches zero.​   ​</strong> A)f → +∞ as x → 0. B)f → 1 as x → 0. C)f → 0 as x → 0. D)f → -1 as x → 0. E)f → -∞ as x → 0. <div style=padding-top: 35px>

A)f → +∞ as x → 0.
B)f → 1 as x → 0.
C)f → 0 as x → 0.
D)f → -1 as x → 0.
E)f → -∞ as x → 0.
Question
A television camera is on a reviewing platform a meters from the street on which a parade will be passing from left to right (see figure).Write the distance d from the camera to a particular unit in the parade as a function of the angle x. a = 26. <strong>A television camera is on a reviewing platform a meters from the street on which a parade will be passing from left to right (see figure).Write the distance d from the camera to a particular unit in the parade as a function of the angle x. a = 26.  </strong> A)d = 26tan x B)d = 26sec x C)d = 26cos x D)d = 26cot x E)d = 26sin x <div style=padding-top: 35px>

A)d = 26tan x
B)d = 26sec x
C)d = 26cos x
D)d = 26cot x
E)d = 26sin x
Question
Describe the behavior of the function below as x approaches 0+.​ <strong>Describe the behavior of the function below as x approaches 0<sup>+</sup>.​   ​</strong> A)f → +∞ as x → 0<sup>+</sup>. B)f → 0 as x → 0<sup>+</sup>. C)f → -1 as x → 0<sup>+</sup>. D)f → -∞ as x → 0<sup>+</sup>. E)f → 1 as x → 0<sup>+</sup>. <div style=padding-top: 35px>

A)f → +∞ as x → 0+.
B)f → 0 as x → 0+.
C)f → -1 as x → 0+.
D)f → -∞ as x → 0+.
E)f → 1 as x → 0+.
Question
Describe the behavior of the function below as x approaches zero.​ <strong>Describe the behavior of the function below as x approaches zero.​   ​</strong> A)f → +∞ as x → 0. B)f → 1 as x → 0. C)f → 0 as x → 0. D)f → -1 as x → 0. E)f → -∞ as x → 0. <div style=padding-top: 35px>

A)f → +∞ as x → 0.
B)f → 1 as x → 0.
C)f → 0 as x → 0.
D)f → -1 as x → 0.
E)f → -∞ as x → 0.
Question
Determine whether the function below is even,odd,or neither.​ <strong>Determine whether the function below is even,odd,or neither.​   ​</strong> A)Neither B)Odd C)Even <div style=padding-top: 35px>

A)Neither
B)Odd
C)Even
Question
Determine whether the function below is even,odd,or neither. ​
F(x)= 0.8 cot x

A)Neither
B)Even
C)Odd
Question
Determine whether the function below is even,odd,or neither.​ <strong>Determine whether the function below is even,odd,or neither.​   ​</strong> A)Even B)Odd C)Neither <div style=padding-top: 35px>

A)Even
B)Odd
C)Neither
Question
Describe the behavior of the function below as x approaches <strong>Describe the behavior of the function below as x approaches   .​   ​</strong> A)f → +∞ as x →   . B)f → 0 as x →   . C)f → 1 as x →   . D)f → -∞ as x →   . E)f → -1 as x →   . <div style=padding-top: 35px> .​ <strong>Describe the behavior of the function below as x approaches   .​   ​</strong> A)f → +∞ as x →   . B)f → 0 as x →   . C)f → 1 as x →   . D)f → -∞ as x →   . E)f → -1 as x →   . <div style=padding-top: 35px>

A)f → +∞ as x → <strong>Describe the behavior of the function below as x approaches   .​   ​</strong> A)f → +∞ as x →   . B)f → 0 as x →   . C)f → 1 as x →   . D)f → -∞ as x →   . E)f → -1 as x →   . <div style=padding-top: 35px> .
B)f → 0 as x → <strong>Describe the behavior of the function below as x approaches   .​   ​</strong> A)f → +∞ as x →   . B)f → 0 as x →   . C)f → 1 as x →   . D)f → -∞ as x →   . E)f → -1 as x →   . <div style=padding-top: 35px> .
C)f → 1 as x → <strong>Describe the behavior of the function below as x approaches   .​   ​</strong> A)f → +∞ as x →   . B)f → 0 as x →   . C)f → 1 as x →   . D)f → -∞ as x →   . E)f → -1 as x →   . <div style=padding-top: 35px> .
D)f → -∞ as x → <strong>Describe the behavior of the function below as x approaches   .​   ​</strong> A)f → +∞ as x →   . B)f → 0 as x →   . C)f → 1 as x →   . D)f → -∞ as x →   . E)f → -1 as x →   . <div style=padding-top: 35px> .
E)f → -1 as x → <strong>Describe the behavior of the function below as x approaches   .​   ​</strong> A)f → +∞ as x →   . B)f → 0 as x →   . C)f → 1 as x →   . D)f → -∞ as x →   . E)f → -1 as x →   . <div style=padding-top: 35px> .
Question
Determine whether the function below is even,odd,or neither.​ <strong>Determine whether the function below is even,odd,or neither.​   ​</strong> A)Neither B)Odd C)Even <div style=padding-top: 35px>

A)Neither
B)Odd
C)Even
Question
Use a graphing utility to select the graph the damping factor and the function below in the same viewing window.Describe the behavior of the function as x increases without bound.​ <strong>Use a graphing utility to select the graph the damping factor and the function below in the same viewing window.Describe the behavior of the function as x increases without bound.​  </strong> A)​   As x → ∞,f(x)→ 0. B)​   As x → ∞,f(x)→ 0. C)   As x → ∞,f(x)→ 0. D)​   The function f(x)is unbounded as x → ∞. E)​   The function f(x)is unbounded as x → ∞. <div style=padding-top: 35px>

A)​ <strong>Use a graphing utility to select the graph the damping factor and the function below in the same viewing window.Describe the behavior of the function as x increases without bound.​  </strong> A)​   As x → ∞,f(x)→ 0. B)​   As x → ∞,f(x)→ 0. C)   As x → ∞,f(x)→ 0. D)​   The function f(x)is unbounded as x → ∞. E)​   The function f(x)is unbounded as x → ∞. <div style=padding-top: 35px> As x → ∞,f(x)→ 0.
B)​ <strong>Use a graphing utility to select the graph the damping factor and the function below in the same viewing window.Describe the behavior of the function as x increases without bound.​  </strong> A)​   As x → ∞,f(x)→ 0. B)​   As x → ∞,f(x)→ 0. C)   As x → ∞,f(x)→ 0. D)​   The function f(x)is unbounded as x → ∞. E)​   The function f(x)is unbounded as x → ∞. <div style=padding-top: 35px> As x → ∞,f(x)→ 0.
C) <strong>Use a graphing utility to select the graph the damping factor and the function below in the same viewing window.Describe the behavior of the function as x increases without bound.​  </strong> A)​   As x → ∞,f(x)→ 0. B)​   As x → ∞,f(x)→ 0. C)   As x → ∞,f(x)→ 0. D)​   The function f(x)is unbounded as x → ∞. E)​   The function f(x)is unbounded as x → ∞. <div style=padding-top: 35px> As x → ∞,f(x)→ 0.
D)​ <strong>Use a graphing utility to select the graph the damping factor and the function below in the same viewing window.Describe the behavior of the function as x increases without bound.​  </strong> A)​   As x → ∞,f(x)→ 0. B)​   As x → ∞,f(x)→ 0. C)   As x → ∞,f(x)→ 0. D)​   The function f(x)is unbounded as x → ∞. E)​   The function f(x)is unbounded as x → ∞. <div style=padding-top: 35px> The function f(x)is unbounded as x → ∞.
E)​ <strong>Use a graphing utility to select the graph the damping factor and the function below in the same viewing window.Describe the behavior of the function as x increases without bound.​  </strong> A)​   As x → ∞,f(x)→ 0. B)​   As x → ∞,f(x)→ 0. C)   As x → ∞,f(x)→ 0. D)​   The function f(x)is unbounded as x → ∞. E)​   The function f(x)is unbounded as x → ∞. <div style=padding-top: 35px> The function f(x)is unbounded as x → ∞.
Question
Select the graph of the given function.Make sure to include at least two periods. <strong>Select the graph of the given function.Make sure to include at least two periods.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Select the graph of the given function.Make sure to include at least two periods.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Select the graph of the given function.Make sure to include at least two periods.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Select the graph of the given function.Make sure to include at least two periods.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Select the graph of the given function.Make sure to include at least two periods.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Select the graph of the given function.Make sure to include at least two periods.   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Use a graphing utility to select the graph the damping factor and the function below in the same viewing window.Describe the behavior of the function as x increases without bound.​ <strong>Use a graphing utility to select the graph the damping factor and the function below in the same viewing window.Describe the behavior of the function as x increases without bound.​   ​ ​</strong> A)​   As x → ∞,f(x)→ ∞. B)​   As x → ∞,f(x)→ ∞. C)​   As x → ∞,f(x)→ 0. D)   As x → ∞,f(x)→ 0. E)​   As x → ∞,f(x)→ ∞. <div style=padding-top: 35px> ​ ​

A)​ <strong>Use a graphing utility to select the graph the damping factor and the function below in the same viewing window.Describe the behavior of the function as x increases without bound.​   ​ ​</strong> A)​   As x → ∞,f(x)→ ∞. B)​   As x → ∞,f(x)→ ∞. C)​   As x → ∞,f(x)→ 0. D)   As x → ∞,f(x)→ 0. E)​   As x → ∞,f(x)→ ∞. <div style=padding-top: 35px> As x → ∞,f(x)→ ∞.
B)​ <strong>Use a graphing utility to select the graph the damping factor and the function below in the same viewing window.Describe the behavior of the function as x increases without bound.​   ​ ​</strong> A)​   As x → ∞,f(x)→ ∞. B)​   As x → ∞,f(x)→ ∞. C)​   As x → ∞,f(x)→ 0. D)   As x → ∞,f(x)→ 0. E)​   As x → ∞,f(x)→ ∞. <div style=padding-top: 35px> As x → ∞,f(x)→ ∞.
C)​ <strong>Use a graphing utility to select the graph the damping factor and the function below in the same viewing window.Describe the behavior of the function as x increases without bound.​   ​ ​</strong> A)​   As x → ∞,f(x)→ ∞. B)​   As x → ∞,f(x)→ ∞. C)​   As x → ∞,f(x)→ 0. D)   As x → ∞,f(x)→ 0. E)​   As x → ∞,f(x)→ ∞. <div style=padding-top: 35px> As x → ∞,f(x)→ 0.
D) <strong>Use a graphing utility to select the graph the damping factor and the function below in the same viewing window.Describe the behavior of the function as x increases without bound.​   ​ ​</strong> A)​   As x → ∞,f(x)→ ∞. B)​   As x → ∞,f(x)→ ∞. C)​   As x → ∞,f(x)→ 0. D)   As x → ∞,f(x)→ 0. E)​   As x → ∞,f(x)→ ∞. <div style=padding-top: 35px> As x → ∞,f(x)→ 0.
E)​ <strong>Use a graphing utility to select the graph the damping factor and the function below in the same viewing window.Describe the behavior of the function as x increases without bound.​   ​ ​</strong> A)​   As x → ∞,f(x)→ ∞. B)​   As x → ∞,f(x)→ ∞. C)​   As x → ∞,f(x)→ 0. D)   As x → ∞,f(x)→ 0. E)​   As x → ∞,f(x)→ ∞. <div style=padding-top: 35px> As x → ∞,f(x)→ ∞.
Question
Select the graph of the given function.Make sure to include at least two periods.​ <strong>Select the graph of the given function.Make sure to include at least two periods.​   ​</strong> A)​   B)   ​ C)​   D)​   E)   <div style=padding-top: 35px>

A)​ <strong>Select the graph of the given function.Make sure to include at least two periods.​   ​</strong> A)​   B)   ​ C)​   D)​   E)   <div style=padding-top: 35px>
B) <strong>Select the graph of the given function.Make sure to include at least two periods.​   ​</strong> A)​   B)   ​ C)​   D)​   E)   <div style=padding-top: 35px>
C)​ <strong>Select the graph of the given function.Make sure to include at least two periods.​   ​</strong> A)​   B)   ​ C)​   D)​   E)   <div style=padding-top: 35px>
D)​ <strong>Select the graph of the given function.Make sure to include at least two periods.​   ​</strong> A)​   B)   ​ C)​   D)​   E)   <div style=padding-top: 35px>
E) <strong>Select the graph of the given function.Make sure to include at least two periods.​   ​</strong> A)​   B)   ​ C)​   D)​   E)   <div style=padding-top: 35px>
Question
Use a graphing utility to select the graph of the function below,making sure to show at least two periods.​ <strong>Use a graphing utility to select the graph of the function below,making sure to show at least two periods.​   ​​   ​ ​  Xscl =   ​   ​ ​​ Xscl =   ​ ​​ Xscl =   ​ ​ Xscl =  </strong> A)​   ​​ B)​   ​ C)​ ​   D)​​ ​   E)​ ​   <div style=padding-top: 35px> ​​ <strong>Use a graphing utility to select the graph of the function below,making sure to show at least two periods.​   ​​   ​ ​  Xscl =   ​   ​ ​​ Xscl =   ​ ​​ Xscl =   ​ ​ Xscl =  </strong> A)​   ​​ B)​   ​ C)​ ​   D)​​ ​   E)​ ​   <div style=padding-top: 35px> ​ ​

Xscl = <strong>Use a graphing utility to select the graph of the function below,making sure to show at least two periods.​   ​​   ​ ​  Xscl =   ​   ​ ​​ Xscl =   ​ ​​ Xscl =   ​ ​ Xscl =  </strong> A)​   ​​ B)​   ​ C)​ ​   D)​​ ​   E)​ ​   <div style=padding-top: 35px> <strong>Use a graphing utility to select the graph of the function below,making sure to show at least two periods.​   ​​   ​ ​  Xscl =   ​   ​ ​​ Xscl =   ​ ​​ Xscl =   ​ ​ Xscl =  </strong> A)​   ​​ B)​   ​ C)​ ​   D)​​ ​   E)​ ​   <div style=padding-top: 35px>
​​
Xscl = <strong>Use a graphing utility to select the graph of the function below,making sure to show at least two periods.​   ​​   ​ ​  Xscl =   ​   ​ ​​ Xscl =   ​ ​​ Xscl =   ​ ​ Xscl =  </strong> A)​   ​​ B)​   ​ C)​ ​   D)​​ ​   E)​ ​   <div style=padding-top: 35px>
​​
Xscl = <strong>Use a graphing utility to select the graph of the function below,making sure to show at least two periods.​   ​​   ​ ​  Xscl =   ​   ​ ​​ Xscl =   ​ ​​ Xscl =   ​ ​ Xscl =  </strong> A)​   ​​ B)​   ​ C)​ ​   D)​​ ​   E)​ ​   <div style=padding-top: 35px>

Xscl = <strong>Use a graphing utility to select the graph of the function below,making sure to show at least two periods.​   ​​   ​ ​  Xscl =   ​   ​ ​​ Xscl =   ​ ​​ Xscl =   ​ ​ Xscl =  </strong> A)​   ​​ B)​   ​ C)​ ​   D)​​ ​   E)​ ​   <div style=padding-top: 35px>

A)​ <strong>Use a graphing utility to select the graph of the function below,making sure to show at least two periods.​   ​​   ​ ​  Xscl =   ​   ​ ​​ Xscl =   ​ ​​ Xscl =   ​ ​ Xscl =  </strong> A)​   ​​ B)​   ​ C)​ ​   D)​​ ​   E)​ ​   <div style=padding-top: 35px> ​​
B)​ <strong>Use a graphing utility to select the graph of the function below,making sure to show at least two periods.​   ​​   ​ ​  Xscl =   ​   ​ ​​ Xscl =   ​ ​​ Xscl =   ​ ​ Xscl =  </strong> A)​   ​​ B)​   ​ C)​ ​   D)​​ ​   E)​ ​   <div style=padding-top: 35px>
C)​ ​ <strong>Use a graphing utility to select the graph of the function below,making sure to show at least two periods.​   ​​   ​ ​  Xscl =   ​   ​ ​​ Xscl =   ​ ​​ Xscl =   ​ ​ Xscl =  </strong> A)​   ​​ B)​   ​ C)​ ​   D)​​ ​   E)​ ​   <div style=padding-top: 35px>
D)​​ ​ <strong>Use a graphing utility to select the graph of the function below,making sure to show at least two periods.​   ​​   ​ ​  Xscl =   ​   ​ ​​ Xscl =   ​ ​​ Xscl =   ​ ​ Xscl =  </strong> A)​   ​​ B)​   ​ C)​ ​   D)​​ ​   E)​ ​   <div style=padding-top: 35px>
E)​ ​ <strong>Use a graphing utility to select the graph of the function below,making sure to show at least two periods.​   ​​   ​ ​  Xscl =   ​   ​ ​​ Xscl =   ​ ​​ Xscl =   ​ ​ Xscl =  </strong> A)​   ​​ B)​   ​ C)​ ​   D)​​ ​   E)​ ​   <div style=padding-top: 35px>
Question
Use a graphing utility to select the graph of the expression below,making sure to show at least two periods. ​​ <strong>Use a graphing utility to select the graph of the expression below,making sure to show at least two periods. ​​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A) <strong>Use a graphing utility to select the graph of the expression below,making sure to show at least two periods. ​​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Use a graphing utility to select the graph of the expression below,making sure to show at least two periods. ​​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Use a graphing utility to select the graph of the expression below,making sure to show at least two periods. ​​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Use a graphing utility to select the graph of the expression below,making sure to show at least two periods. ​​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Use a graphing utility to select the graph of the expression below,making sure to show at least two periods. ​​   ​</strong> A)   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
An object weighing W pounds is suspended from the ceiling by a steel spring (see figure).The weight is pulled downward (positive direction)from its equilibrium position and released.The resulting motion of the weight is described by the function​ <strong>An object weighing W pounds is suspended from the ceiling by a steel spring (see figure).The weight is pulled downward (positive direction)from its equilibrium position and released.The resulting motion of the weight is described by the function​   ​ where y is the distance (in feet)and t is the time (in seconds). Use a graphing utility to select the graph of the function. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px> ​ where y is the distance (in feet)and t is the time (in seconds).
Use a graphing utility to select the graph of the function.
​​ <strong>An object weighing W pounds is suspended from the ceiling by a steel spring (see figure).The weight is pulled downward (positive direction)from its equilibrium position and released.The resulting motion of the weight is described by the function​   ​ where y is the distance (in feet)and t is the time (in seconds). Use a graphing utility to select the graph of the function. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>An object weighing W pounds is suspended from the ceiling by a steel spring (see figure).The weight is pulled downward (positive direction)from its equilibrium position and released.The resulting motion of the weight is described by the function​   ​ where y is the distance (in feet)and t is the time (in seconds). Use a graphing utility to select the graph of the function. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>An object weighing W pounds is suspended from the ceiling by a steel spring (see figure).The weight is pulled downward (positive direction)from its equilibrium position and released.The resulting motion of the weight is described by the function​   ​ where y is the distance (in feet)and t is the time (in seconds). Use a graphing utility to select the graph of the function. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>An object weighing W pounds is suspended from the ceiling by a steel spring (see figure).The weight is pulled downward (positive direction)from its equilibrium position and released.The resulting motion of the weight is described by the function​   ​ where y is the distance (in feet)and t is the time (in seconds). Use a graphing utility to select the graph of the function. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>An object weighing W pounds is suspended from the ceiling by a steel spring (see figure).The weight is pulled downward (positive direction)from its equilibrium position and released.The resulting motion of the weight is described by the function​   ​ where y is the distance (in feet)and t is the time (in seconds). Use a graphing utility to select the graph of the function. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>An object weighing W pounds is suspended from the ceiling by a steel spring (see figure).The weight is pulled downward (positive direction)from its equilibrium position and released.The resulting motion of the weight is described by the function​   ​ where y is the distance (in feet)and t is the time (in seconds). Use a graphing utility to select the graph of the function. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Use the graph shown below to determine if the function is even,odd,or neither. ​​ <strong>Use the graph shown below to determine if the function is even,odd,or neither. ​​   ​  </strong> A)Even B)Odd C)Neither <div style=padding-top: 35px> <strong>Use the graph shown below to determine if the function is even,odd,or neither. ​​   ​  </strong> A)Even B)Odd C)Neither <div style=padding-top: 35px>

A)Even
B)Odd
C)Neither
Question
Determine which of the graphs below represents ​​ <strong>Determine which of the graphs below represents ​​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Determine which of the graphs below represents ​​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Determine which of the graphs below represents ​​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Determine which of the graphs below represents ​​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Determine which of the graphs below represents ​​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Determine which of the graphs below represents ​​   ​</strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
Question
Use a graphing utility to select the graph of the function below.Describe the behavior of the function as x approaches 0. ​​ <strong>Use a graphing utility to select the graph of the function below.Describe the behavior of the function as x approaches 0. ​​  </strong> A)​   As x → 0,f(x)→ 0. B)​   ​As x → 0,f(x)→ 0. C)​   As x → 0,f(x)→ 0. D)​   As x → 0,f(x)→ 0. E)​   As x → 0,f(x)→ 0. <div style=padding-top: 35px>

A)​ <strong>Use a graphing utility to select the graph of the function below.Describe the behavior of the function as x approaches 0. ​​  </strong> A)​   As x → 0,f(x)→ 0. B)​   ​As x → 0,f(x)→ 0. C)​   As x → 0,f(x)→ 0. D)​   As x → 0,f(x)→ 0. E)​   As x → 0,f(x)→ 0. <div style=padding-top: 35px> As x → 0,f(x)→ 0.
B)​ <strong>Use a graphing utility to select the graph of the function below.Describe the behavior of the function as x approaches 0. ​​  </strong> A)​   As x → 0,f(x)→ 0. B)​   ​As x → 0,f(x)→ 0. C)​   As x → 0,f(x)→ 0. D)​   As x → 0,f(x)→ 0. E)​   As x → 0,f(x)→ 0. <div style=padding-top: 35px> ​As x → 0,f(x)→ 0.
C)​ <strong>Use a graphing utility to select the graph of the function below.Describe the behavior of the function as x approaches 0. ​​  </strong> A)​   As x → 0,f(x)→ 0. B)​   ​As x → 0,f(x)→ 0. C)​   As x → 0,f(x)→ 0. D)​   As x → 0,f(x)→ 0. E)​   As x → 0,f(x)→ 0. <div style=padding-top: 35px> As x → 0,f(x)→ 0.
D)​ <strong>Use a graphing utility to select the graph of the function below.Describe the behavior of the function as x approaches 0. ​​  </strong> A)​   As x → 0,f(x)→ 0. B)​   ​As x → 0,f(x)→ 0. C)​   As x → 0,f(x)→ 0. D)​   As x → 0,f(x)→ 0. E)​   As x → 0,f(x)→ 0. <div style=padding-top: 35px> As x → 0,f(x)→ 0.
E)​ <strong>Use a graphing utility to select the graph of the function below.Describe the behavior of the function as x approaches 0. ​​  </strong> A)​   As x → 0,f(x)→ 0. B)​   ​As x → 0,f(x)→ 0. C)​   As x → 0,f(x)→ 0. D)​   As x → 0,f(x)→ 0. E)​   As x → 0,f(x)→ 0. <div style=padding-top: 35px> As x → 0,f(x)→ 0.
Question
Which of the following functions is represented by the graph below? <strong>Which of the following functions is represented by the graph below?  </strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>

A)​ <strong>Which of the following functions is represented by the graph below?  </strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
B)​ <strong>Which of the following functions is represented by the graph below?  </strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
C)​ <strong>Which of the following functions is represented by the graph below?  </strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
D)​ <strong>Which of the following functions is represented by the graph below?  </strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
E)​ <strong>Which of the following functions is represented by the graph below?  </strong> A)​   B)​   C)​   D)​   E)​   <div style=padding-top: 35px>
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Deck 28: Graphs of Other Trigonometric Functions
1
Determine whether the function below is even,odd,or neither.​ <strong>Determine whether the function below is even,odd,or neither.​   ​</strong> A)Even B)Odd C)Neither

A)Even
B)Odd
C)Neither
Odd
2
Consider the function given by​ <strong>Consider the function given by​   ​ Use a graphing utility to select the graph of the function. ​</strong> A)​​   B)​   C)​   D)​​   E)​​   ​ Use a graphing utility to select the graph of the function.

A)​​ <strong>Consider the function given by​   ​ Use a graphing utility to select the graph of the function. ​</strong> A)​​   B)​   C)​   D)​​   E)​​
B)​ <strong>Consider the function given by​   ​ Use a graphing utility to select the graph of the function. ​</strong> A)​​   B)​   C)​   D)​​   E)​​
C)​ <strong>Consider the function given by​   ​ Use a graphing utility to select the graph of the function. ​</strong> A)​​   B)​   C)​   D)​​   E)​​
D)​​ <strong>Consider the function given by​   ​ Use a graphing utility to select the graph of the function. ​</strong> A)​​   B)​   C)​   D)​​   E)​​
E)​​ <strong>Consider the function given by​   ​ Use a graphing utility to select the graph of the function. ​</strong> A)​​   B)​   C)​   D)​​   E)​​
​​ ​​
3
Select the graph of the function below.Include two full periods.​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​​   C)​   D)​   E)​

A)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​​   C)​   D)​   E)​
B)​​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​​   C)​   D)​   E)​
C)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​​   C)​   D)​   E)​
D)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​​   C)​   D)​   E)​
E)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​​   C)​   D)​   E)​
​
4
Use a graphing utility to select the graph of the two equations in the same viewing window.Use the graphs to determine whether the expressions are equivalent.​ <strong>Use a graphing utility to select the graph of the two equations in the same viewing window.Use the graphs to determine whether the expressions are equivalent.​   ​</strong> A)​   The expressions are equivalent except Sinx = 0,y<sub>1</sub> is undefined. B)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. C)​   The expressions are equivalent except when Sinx = 0,y<sub>1</sub> is undefined. D)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. E)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined.

A)​ <strong>Use a graphing utility to select the graph of the two equations in the same viewing window.Use the graphs to determine whether the expressions are equivalent.​   ​</strong> A)​   The expressions are equivalent except Sinx = 0,y<sub>1</sub> is undefined. B)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. C)​   The expressions are equivalent except when Sinx = 0,y<sub>1</sub> is undefined. D)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. E)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. The expressions are equivalent except
Sinx = 0,y1 is undefined.
B)​ <strong>Use a graphing utility to select the graph of the two equations in the same viewing window.Use the graphs to determine whether the expressions are equivalent.​   ​</strong> A)​   The expressions are equivalent except Sinx = 0,y<sub>1</sub> is undefined. B)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. C)​   The expressions are equivalent except when Sinx = 0,y<sub>1</sub> is undefined. D)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. E)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. The expressions are equivalent except when sinx = 0,y1 is undefined.
C)​ <strong>Use a graphing utility to select the graph of the two equations in the same viewing window.Use the graphs to determine whether the expressions are equivalent.​   ​</strong> A)​   The expressions are equivalent except Sinx = 0,y<sub>1</sub> is undefined. B)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. C)​   The expressions are equivalent except when Sinx = 0,y<sub>1</sub> is undefined. D)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. E)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. The expressions are equivalent except when
Sinx = 0,y1 is undefined.
D)​ <strong>Use a graphing utility to select the graph of the two equations in the same viewing window.Use the graphs to determine whether the expressions are equivalent.​   ​</strong> A)​   The expressions are equivalent except Sinx = 0,y<sub>1</sub> is undefined. B)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. C)​   The expressions are equivalent except when Sinx = 0,y<sub>1</sub> is undefined. D)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. E)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. The expressions are equivalent except when sinx = 0,y1 is undefined.
E)​ <strong>Use a graphing utility to select the graph of the two equations in the same viewing window.Use the graphs to determine whether the expressions are equivalent.​   ​</strong> A)​   The expressions are equivalent except Sinx = 0,y<sub>1</sub> is undefined. B)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. C)​   The expressions are equivalent except when Sinx = 0,y<sub>1</sub> is undefined. D)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. E)​   The expressions are equivalent except when sinx = 0,y<sub>1</sub> is undefined. The expressions are equivalent except when sinx = 0,y1 is undefined.
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5
State the period of the function:​ <strong>State the period of the function:​   ​</strong> A)   B)   C)   D)   E)1

A) <strong>State the period of the function:​   ​</strong> A)   B)   C)   D)   E)1
B) <strong>State the period of the function:​   ​</strong> A)   B)   C)   D)   E)1
C) <strong>State the period of the function:​   ​</strong> A)   B)   C)   D)   E)1
D) <strong>State the period of the function:​   ​</strong> A)   B)   C)   D)   E)1
E)1
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6
Determine whether the function below is even,odd,or neither.​ <strong>Determine whether the function below is even,odd,or neither.​   ​</strong> A)Neither B)Odd C)Even

A)Neither
B)Odd
C)Even
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7
A plane flying at an altitude of a miles above a radar antenna will pass directly over the radar antenna (see figure).Let d be the ground distance from the antenna to the point directly under the plane and let x be the angle of elevation to the plane from the antenna. <strong>A plane flying at an altitude of a miles above a radar antenna will pass directly over the radar antenna (see figure).Let d be the ground distance from the antenna to the point directly under the plane and let x be the angle of elevation to the plane from the antenna.   . ​ (d is positive as the plane approaches the antenna. ) Write d as a function of x.​  </strong> A)d = 8 csc x B)d = 8 cot x C)d = 8 cos x D)d = 8 tan x E)d = 8 sin x . ​
(d is positive as the plane approaches the antenna. )
Write d as a function of x.​ <strong>A plane flying at an altitude of a miles above a radar antenna will pass directly over the radar antenna (see figure).Let d be the ground distance from the antenna to the point directly under the plane and let x be the angle of elevation to the plane from the antenna.   . ​ (d is positive as the plane approaches the antenna. ) Write d as a function of x.​  </strong> A)d = 8 csc x B)d = 8 cot x C)d = 8 cos x D)d = 8 tan x E)d = 8 sin x

A)d = 8 csc x
B)d = 8 cot x
C)d = 8 cos x
D)d = 8 tan x
E)d = 8 sin x
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8
Select the graph of the function below.Include two full periods.​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​
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9
State the period of the function:​ <strong>State the period of the function:​   ​</strong> A)​14 B)10 C)   D)   E)12

A)​14
B)10
C) <strong>State the period of the function:​   ​</strong> A)​14 B)10 C)   D)   E)12
D) <strong>State the period of the function:​   ​</strong> A)​14 B)10 C)   D)   E)12
E)12
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10
State the period of the function:​ <strong>State the period of the function:​   ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​

A) <strong>State the period of the function:​   ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​
B) <strong>State the period of the function:​   ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​
C) <strong>State the period of the function:​   ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​
D) <strong>State the period of the function:​   ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​
E) <strong>State the period of the function:​   ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​
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11
Select the graph of the function below.Include two full periods.​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​
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12
Consider the functions given by​ <strong>Consider the functions given by​   on the interval (0,π). Describe the behavior of each of the functions as x approaches π. ​</strong> A)f approaches 2 and g approaches +∞. B)f approaches 0 and g approaches +∞. C)f approaches +∞ and g approaches 0. D)f approaches 0 and g approaches   . E)f approaches 2 and g approaches   . on the interval (0,π). Describe the behavior of each of the functions as x approaches π.

A)f approaches 2 and g approaches +∞.
B)f approaches 0 and g approaches +∞.
C)f approaches +∞ and g approaches 0.
D)f approaches 0 and g approaches <strong>Consider the functions given by​   on the interval (0,π). Describe the behavior of each of the functions as x approaches π. ​</strong> A)f approaches 2 and g approaches +∞. B)f approaches 0 and g approaches +∞. C)f approaches +∞ and g approaches 0. D)f approaches 0 and g approaches   . E)f approaches 2 and g approaches   . .
E)f approaches 2 and g approaches <strong>Consider the functions given by​   on the interval (0,π). Describe the behavior of each of the functions as x approaches π. ​</strong> A)f approaches 2 and g approaches +∞. B)f approaches 0 and g approaches +∞. C)f approaches +∞ and g approaches 0. D)f approaches 0 and g approaches   . E)f approaches 2 and g approaches   . .
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13
State the period of the function:​ <strong>State the period of the function:​   ​</strong> A)​   B)6 C)8 D)   E)12

A)​ <strong>State the period of the function:​   ​</strong> A)​   B)6 C)8 D)   E)12
B)6
C)8
D) <strong>State the period of the function:​   ​</strong> A)​   B)6 C)8 D)   E)12
E)12
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14
State the period of the function:​ <strong>State the period of the function:​   ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​

A) <strong>State the period of the function:​   ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​
B) <strong>State the period of the function:​   ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​
C) <strong>State the period of the function:​   ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​
D) <strong>State the period of the function:​   ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​
E) <strong>State the period of the function:​   ​</strong> A)   B)   ​ C)   ​ D)   ​ E)   ​
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15
Select the graph of the function below.Include two full periods.​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​
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16
State the period of the function: ​​ <strong>State the period of the function: ​​   ​</strong> A)   B)   C)   D)   E)

A) <strong>State the period of the function: ​​   ​</strong> A)   B)   C)   D)   E)
B) <strong>State the period of the function: ​​   ​</strong> A)   B)   C)   D)   E)
C) <strong>State the period of the function: ​​   ​</strong> A)   B)   C)   D)   E)
D) <strong>State the period of the function: ​​   ​</strong> A)   B)   C)   D)   E)
E) <strong>State the period of the function: ​​   ​</strong> A)   B)   C)   D)   E)
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17
Use a graphing utility to select the graph of the function:​ <strong>Use a graphing utility to select the graph of the function:​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Use a graphing utility to select the graph of the function:​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Use a graphing utility to select the graph of the function:​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Use a graphing utility to select the graph of the function:​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Use a graphing utility to select the graph of the function:​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Use a graphing utility to select the graph of the function:​   ​</strong> A)​   B)​   C)​   D)​   E)​
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18
Select the graph of the function below.Include two full periods.​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​
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19
Use a graphing utility to select the graph of the function:​ <strong>Use a graphing utility to select the graph of the function:​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Use a graphing utility to select the graph of the function:​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Use a graphing utility to select the graph of the function:​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Use a graphing utility to select the graph of the function:​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Use a graphing utility to select the graph of the function:​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Use a graphing utility to select the graph of the function:​   ​</strong> A)​   B)​   C)​   D)​   E)​
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20
Select the graph of the function below.Include two full periods.​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Select the graph of the function below.Include two full periods.​   ​</strong> A)​   B)​   C)​   D)​   E)​
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21
Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​
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22
Describe the behavior of the function below as x approaches <strong>Describe the behavior of the function below as x approaches   .​   ​</strong> A)f → +∞ as x →   . B)f → 0 as x →   . C)f → -∞ as x →   . D)f → 1 as x →   . E)f → -1 as x →   . .​ <strong>Describe the behavior of the function below as x approaches   .​   ​</strong> A)f → +∞ as x →   . B)f → 0 as x →   . C)f → -∞ as x →   . D)f → 1 as x →   . E)f → -1 as x →   .

A)f → +∞ as x → <strong>Describe the behavior of the function below as x approaches   .​   ​</strong> A)f → +∞ as x →   . B)f → 0 as x →   . C)f → -∞ as x →   . D)f → 1 as x →   . E)f → -1 as x →   . .
B)f → 0 as x → <strong>Describe the behavior of the function below as x approaches   .​   ​</strong> A)f → +∞ as x →   . B)f → 0 as x →   . C)f → -∞ as x →   . D)f → 1 as x →   . E)f → -1 as x →   . .
C)f → -∞ as x → <strong>Describe the behavior of the function below as x approaches   .​   ​</strong> A)f → +∞ as x →   . B)f → 0 as x →   . C)f → -∞ as x →   . D)f → 1 as x →   . E)f → -1 as x →   . .
D)f → 1 as x → <strong>Describe the behavior of the function below as x approaches   .​   ​</strong> A)f → +∞ as x →   . B)f → 0 as x →   . C)f → -∞ as x →   . D)f → 1 as x →   . E)f → -1 as x →   . .
E)f → -1 as x → <strong>Describe the behavior of the function below as x approaches   .​   ​</strong> A)f → +∞ as x →   . B)f → 0 as x →   . C)f → -∞ as x →   . D)f → 1 as x →   . E)f → -1 as x →   . .
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23
Describe the behavior of the function below as x approaches zero.​ <strong>Describe the behavior of the function below as x approaches zero.​   ​</strong> A)f → -∞ as x → 0. B)f → -1 as x → 0. C)f → 1 as x → 0. D)f → +∞ as x → 0. E)f → 0 as x → 0.

A)f → -∞ as x → 0.
B)f → -1 as x → 0.
C)f → 1 as x → 0.
D)f → +∞ as x → 0.
E)f → 0 as x → 0.
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24
Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​
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25
The projected monthly sales (in thousands of units)of lawn mowers (a seasonal product)are modeled by​ <strong>The projected monthly sales (in thousands of units)of lawn mowers (a seasonal product)are modeled by​   ​ where t is the time (in months),with t = 1 corresponding to January.Select the graph of the sales function over 1 year. ​</strong> A)​   B)​   C)​   D)​   E)​   ​ where t is the time (in months),with t = 1 corresponding to January.Select the graph of the sales function over 1 year.

A)​ <strong>The projected monthly sales (in thousands of units)of lawn mowers (a seasonal product)are modeled by​   ​ where t is the time (in months),with t = 1 corresponding to January.Select the graph of the sales function over 1 year. ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>The projected monthly sales (in thousands of units)of lawn mowers (a seasonal product)are modeled by​   ​ where t is the time (in months),with t = 1 corresponding to January.Select the graph of the sales function over 1 year. ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>The projected monthly sales (in thousands of units)of lawn mowers (a seasonal product)are modeled by​   ​ where t is the time (in months),with t = 1 corresponding to January.Select the graph of the sales function over 1 year. ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>The projected monthly sales (in thousands of units)of lawn mowers (a seasonal product)are modeled by​   ​ where t is the time (in months),with t = 1 corresponding to January.Select the graph of the sales function over 1 year. ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>The projected monthly sales (in thousands of units)of lawn mowers (a seasonal product)are modeled by​   ​ where t is the time (in months),with t = 1 corresponding to January.Select the graph of the sales function over 1 year. ​</strong> A)​   B)​   C)​   D)​   E)​
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26
Describe the behavior of the function below as x approaches zero.​ <strong>Describe the behavior of the function below as x approaches zero.​   ​</strong> A)f → 0 as x → 0. B)f → -1 as x → 0. C)f → 1 as x → 0. D)f → -∞ as x → 0. E)f → +∞ as x → 0.

A)f → 0 as x → 0.
B)f → -1 as x → 0.
C)f → 1 as x → 0.
D)f → -∞ as x → 0.
E)f → +∞ as x → 0.
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27
Use a graphing utility to select the graph of the function​ <strong>Use a graphing utility to select the graph of the function​   ​ ​</strong> A)​   B)​   C)​   D)​   E)   ​ ​ ​

A)​ <strong>Use a graphing utility to select the graph of the function​   ​ ​</strong> A)​   B)​   C)​   D)​   E)   ​
B)​ <strong>Use a graphing utility to select the graph of the function​   ​ ​</strong> A)​   B)​   C)​   D)​   E)   ​
C)​ <strong>Use a graphing utility to select the graph of the function​   ​ ​</strong> A)​   B)​   C)​   D)​   E)   ​
D)​ <strong>Use a graphing utility to select the graph of the function​   ​ ​</strong> A)​   B)​   C)​   D)​   E)   ​
E) <strong>Use a graphing utility to select the graph of the function​   ​ ​</strong> A)​   B)​   C)​   D)​   E)   ​
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28
Determine whether the function below is even,odd,or neither.​ <strong>Determine whether the function below is even,odd,or neither.​   ​</strong> A)Neither B)Even C)Odd

A)Neither
B)Even
C)Odd
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29
Describe the behavior of the function below as x approaches π-.​ <strong>Describe the behavior of the function below as x approaches π<sup>-</sup>.​   ​</strong> A)f → -∞ as x → π<sup>-</sup>. B)f → +∞ as x → π<sup>-</sup>. C)f → 1 as x → π<sup>-</sup>. D)f → 0 as x → π<sup>-</sup>. E)f → -1 as x → π<sup>-</sup>.

A)f → -∞ as x → π-.
B)f → +∞ as x → π-.
C)f → 1 as x → π-.
D)f → 0 as x → π-.
E)f → -1 as x → π-.
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30
Determine whether the function below is even,odd,or neither. ​​ <strong>Determine whether the function below is even,odd,or neither. ​​   ​</strong> A)Even B)Odd C)Neither

A)Even
B)Odd
C)Neither
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31
Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Use a graphing utility to select the graph of the function below and the damping factor of the function in the same viewing window.​   ​</strong> A)​   B)​   C)​   D)​   E)​
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32
Describe the behavior of the function below as x approaches zero.​ <strong>Describe the behavior of the function below as x approaches zero.​   ​</strong> A)f → +∞ as x → 0. B)f → 1 as x → 0. C)f → 0 as x → 0. D)f → -1 as x → 0. E)f → -∞ as x → 0.

A)f → +∞ as x → 0.
B)f → 1 as x → 0.
C)f → 0 as x → 0.
D)f → -1 as x → 0.
E)f → -∞ as x → 0.
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33
A television camera is on a reviewing platform a meters from the street on which a parade will be passing from left to right (see figure).Write the distance d from the camera to a particular unit in the parade as a function of the angle x. a = 26. <strong>A television camera is on a reviewing platform a meters from the street on which a parade will be passing from left to right (see figure).Write the distance d from the camera to a particular unit in the parade as a function of the angle x. a = 26.  </strong> A)d = 26tan x B)d = 26sec x C)d = 26cos x D)d = 26cot x E)d = 26sin x

A)d = 26tan x
B)d = 26sec x
C)d = 26cos x
D)d = 26cot x
E)d = 26sin x
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34
Describe the behavior of the function below as x approaches 0+.​ <strong>Describe the behavior of the function below as x approaches 0<sup>+</sup>.​   ​</strong> A)f → +∞ as x → 0<sup>+</sup>. B)f → 0 as x → 0<sup>+</sup>. C)f → -1 as x → 0<sup>+</sup>. D)f → -∞ as x → 0<sup>+</sup>. E)f → 1 as x → 0<sup>+</sup>.

A)f → +∞ as x → 0+.
B)f → 0 as x → 0+.
C)f → -1 as x → 0+.
D)f → -∞ as x → 0+.
E)f → 1 as x → 0+.
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35
Describe the behavior of the function below as x approaches zero.​ <strong>Describe the behavior of the function below as x approaches zero.​   ​</strong> A)f → +∞ as x → 0. B)f → 1 as x → 0. C)f → 0 as x → 0. D)f → -1 as x → 0. E)f → -∞ as x → 0.

A)f → +∞ as x → 0.
B)f → 1 as x → 0.
C)f → 0 as x → 0.
D)f → -1 as x → 0.
E)f → -∞ as x → 0.
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36
Determine whether the function below is even,odd,or neither.​ <strong>Determine whether the function below is even,odd,or neither.​   ​</strong> A)Neither B)Odd C)Even

A)Neither
B)Odd
C)Even
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37
Determine whether the function below is even,odd,or neither. ​
F(x)= 0.8 cot x

A)Neither
B)Even
C)Odd
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38
Determine whether the function below is even,odd,or neither.​ <strong>Determine whether the function below is even,odd,or neither.​   ​</strong> A)Even B)Odd C)Neither

A)Even
B)Odd
C)Neither
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39
Describe the behavior of the function below as x approaches <strong>Describe the behavior of the function below as x approaches   .​   ​</strong> A)f → +∞ as x →   . B)f → 0 as x →   . C)f → 1 as x →   . D)f → -∞ as x →   . E)f → -1 as x →   . .​ <strong>Describe the behavior of the function below as x approaches   .​   ​</strong> A)f → +∞ as x →   . B)f → 0 as x →   . C)f → 1 as x →   . D)f → -∞ as x →   . E)f → -1 as x →   .

A)f → +∞ as x → <strong>Describe the behavior of the function below as x approaches   .​   ​</strong> A)f → +∞ as x →   . B)f → 0 as x →   . C)f → 1 as x →   . D)f → -∞ as x →   . E)f → -1 as x →   . .
B)f → 0 as x → <strong>Describe the behavior of the function below as x approaches   .​   ​</strong> A)f → +∞ as x →   . B)f → 0 as x →   . C)f → 1 as x →   . D)f → -∞ as x →   . E)f → -1 as x →   . .
C)f → 1 as x → <strong>Describe the behavior of the function below as x approaches   .​   ​</strong> A)f → +∞ as x →   . B)f → 0 as x →   . C)f → 1 as x →   . D)f → -∞ as x →   . E)f → -1 as x →   . .
D)f → -∞ as x → <strong>Describe the behavior of the function below as x approaches   .​   ​</strong> A)f → +∞ as x →   . B)f → 0 as x →   . C)f → 1 as x →   . D)f → -∞ as x →   . E)f → -1 as x →   . .
E)f → -1 as x → <strong>Describe the behavior of the function below as x approaches   .​   ​</strong> A)f → +∞ as x →   . B)f → 0 as x →   . C)f → 1 as x →   . D)f → -∞ as x →   . E)f → -1 as x →   . .
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40
Determine whether the function below is even,odd,or neither.​ <strong>Determine whether the function below is even,odd,or neither.​   ​</strong> A)Neither B)Odd C)Even

A)Neither
B)Odd
C)Even
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41
Use a graphing utility to select the graph the damping factor and the function below in the same viewing window.Describe the behavior of the function as x increases without bound.​ <strong>Use a graphing utility to select the graph the damping factor and the function below in the same viewing window.Describe the behavior of the function as x increases without bound.​  </strong> A)​   As x → ∞,f(x)→ 0. B)​   As x → ∞,f(x)→ 0. C)   As x → ∞,f(x)→ 0. D)​   The function f(x)is unbounded as x → ∞. E)​   The function f(x)is unbounded as x → ∞.

A)​ <strong>Use a graphing utility to select the graph the damping factor and the function below in the same viewing window.Describe the behavior of the function as x increases without bound.​  </strong> A)​   As x → ∞,f(x)→ 0. B)​   As x → ∞,f(x)→ 0. C)   As x → ∞,f(x)→ 0. D)​   The function f(x)is unbounded as x → ∞. E)​   The function f(x)is unbounded as x → ∞. As x → ∞,f(x)→ 0.
B)​ <strong>Use a graphing utility to select the graph the damping factor and the function below in the same viewing window.Describe the behavior of the function as x increases without bound.​  </strong> A)​   As x → ∞,f(x)→ 0. B)​   As x → ∞,f(x)→ 0. C)   As x → ∞,f(x)→ 0. D)​   The function f(x)is unbounded as x → ∞. E)​   The function f(x)is unbounded as x → ∞. As x → ∞,f(x)→ 0.
C) <strong>Use a graphing utility to select the graph the damping factor and the function below in the same viewing window.Describe the behavior of the function as x increases without bound.​  </strong> A)​   As x → ∞,f(x)→ 0. B)​   As x → ∞,f(x)→ 0. C)   As x → ∞,f(x)→ 0. D)​   The function f(x)is unbounded as x → ∞. E)​   The function f(x)is unbounded as x → ∞. As x → ∞,f(x)→ 0.
D)​ <strong>Use a graphing utility to select the graph the damping factor and the function below in the same viewing window.Describe the behavior of the function as x increases without bound.​  </strong> A)​   As x → ∞,f(x)→ 0. B)​   As x → ∞,f(x)→ 0. C)   As x → ∞,f(x)→ 0. D)​   The function f(x)is unbounded as x → ∞. E)​   The function f(x)is unbounded as x → ∞. The function f(x)is unbounded as x → ∞.
E)​ <strong>Use a graphing utility to select the graph the damping factor and the function below in the same viewing window.Describe the behavior of the function as x increases without bound.​  </strong> A)​   As x → ∞,f(x)→ 0. B)​   As x → ∞,f(x)→ 0. C)   As x → ∞,f(x)→ 0. D)​   The function f(x)is unbounded as x → ∞. E)​   The function f(x)is unbounded as x → ∞. The function f(x)is unbounded as x → ∞.
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42
Select the graph of the given function.Make sure to include at least two periods. <strong>Select the graph of the given function.Make sure to include at least two periods.   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Select the graph of the given function.Make sure to include at least two periods.   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Select the graph of the given function.Make sure to include at least two periods.   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Select the graph of the given function.Make sure to include at least two periods.   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Select the graph of the given function.Make sure to include at least two periods.   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Select the graph of the given function.Make sure to include at least two periods.   ​</strong> A)​   B)​   C)​   D)​   E)​
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43
Use a graphing utility to select the graph the damping factor and the function below in the same viewing window.Describe the behavior of the function as x increases without bound.​ <strong>Use a graphing utility to select the graph the damping factor and the function below in the same viewing window.Describe the behavior of the function as x increases without bound.​   ​ ​</strong> A)​   As x → ∞,f(x)→ ∞. B)​   As x → ∞,f(x)→ ∞. C)​   As x → ∞,f(x)→ 0. D)   As x → ∞,f(x)→ 0. E)​   As x → ∞,f(x)→ ∞. ​ ​

A)​ <strong>Use a graphing utility to select the graph the damping factor and the function below in the same viewing window.Describe the behavior of the function as x increases without bound.​   ​ ​</strong> A)​   As x → ∞,f(x)→ ∞. B)​   As x → ∞,f(x)→ ∞. C)​   As x → ∞,f(x)→ 0. D)   As x → ∞,f(x)→ 0. E)​   As x → ∞,f(x)→ ∞. As x → ∞,f(x)→ ∞.
B)​ <strong>Use a graphing utility to select the graph the damping factor and the function below in the same viewing window.Describe the behavior of the function as x increases without bound.​   ​ ​</strong> A)​   As x → ∞,f(x)→ ∞. B)​   As x → ∞,f(x)→ ∞. C)​   As x → ∞,f(x)→ 0. D)   As x → ∞,f(x)→ 0. E)​   As x → ∞,f(x)→ ∞. As x → ∞,f(x)→ ∞.
C)​ <strong>Use a graphing utility to select the graph the damping factor and the function below in the same viewing window.Describe the behavior of the function as x increases without bound.​   ​ ​</strong> A)​   As x → ∞,f(x)→ ∞. B)​   As x → ∞,f(x)→ ∞. C)​   As x → ∞,f(x)→ 0. D)   As x → ∞,f(x)→ 0. E)​   As x → ∞,f(x)→ ∞. As x → ∞,f(x)→ 0.
D) <strong>Use a graphing utility to select the graph the damping factor and the function below in the same viewing window.Describe the behavior of the function as x increases without bound.​   ​ ​</strong> A)​   As x → ∞,f(x)→ ∞. B)​   As x → ∞,f(x)→ ∞. C)​   As x → ∞,f(x)→ 0. D)   As x → ∞,f(x)→ 0. E)​   As x → ∞,f(x)→ ∞. As x → ∞,f(x)→ 0.
E)​ <strong>Use a graphing utility to select the graph the damping factor and the function below in the same viewing window.Describe the behavior of the function as x increases without bound.​   ​ ​</strong> A)​   As x → ∞,f(x)→ ∞. B)​   As x → ∞,f(x)→ ∞. C)​   As x → ∞,f(x)→ 0. D)   As x → ∞,f(x)→ 0. E)​   As x → ∞,f(x)→ ∞. As x → ∞,f(x)→ ∞.
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44
Select the graph of the given function.Make sure to include at least two periods.​ <strong>Select the graph of the given function.Make sure to include at least two periods.​   ​</strong> A)​   B)   ​ C)​   D)​   E)

A)​ <strong>Select the graph of the given function.Make sure to include at least two periods.​   ​</strong> A)​   B)   ​ C)​   D)​   E)
B) <strong>Select the graph of the given function.Make sure to include at least two periods.​   ​</strong> A)​   B)   ​ C)​   D)​   E)
C)​ <strong>Select the graph of the given function.Make sure to include at least two periods.​   ​</strong> A)​   B)   ​ C)​   D)​   E)
D)​ <strong>Select the graph of the given function.Make sure to include at least two periods.​   ​</strong> A)​   B)   ​ C)​   D)​   E)
E) <strong>Select the graph of the given function.Make sure to include at least two periods.​   ​</strong> A)​   B)   ​ C)​   D)​   E)
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45
Use a graphing utility to select the graph of the function below,making sure to show at least two periods.​ <strong>Use a graphing utility to select the graph of the function below,making sure to show at least two periods.​   ​​   ​ ​  Xscl =   ​   ​ ​​ Xscl =   ​ ​​ Xscl =   ​ ​ Xscl =  </strong> A)​   ​​ B)​   ​ C)​ ​   D)​​ ​   E)​ ​   ​​ <strong>Use a graphing utility to select the graph of the function below,making sure to show at least two periods.​   ​​   ​ ​  Xscl =   ​   ​ ​​ Xscl =   ​ ​​ Xscl =   ​ ​ Xscl =  </strong> A)​   ​​ B)​   ​ C)​ ​   D)​​ ​   E)​ ​   ​ ​

Xscl = <strong>Use a graphing utility to select the graph of the function below,making sure to show at least two periods.​   ​​   ​ ​  Xscl =   ​   ​ ​​ Xscl =   ​ ​​ Xscl =   ​ ​ Xscl =  </strong> A)​   ​​ B)​   ​ C)​ ​   D)​​ ​   E)​ ​   <strong>Use a graphing utility to select the graph of the function below,making sure to show at least two periods.​   ​​   ​ ​  Xscl =   ​   ​ ​​ Xscl =   ​ ​​ Xscl =   ​ ​ Xscl =  </strong> A)​   ​​ B)​   ​ C)​ ​   D)​​ ​   E)​ ​
​​
Xscl = <strong>Use a graphing utility to select the graph of the function below,making sure to show at least two periods.​   ​​   ​ ​  Xscl =   ​   ​ ​​ Xscl =   ​ ​​ Xscl =   ​ ​ Xscl =  </strong> A)​   ​​ B)​   ​ C)​ ​   D)​​ ​   E)​ ​
​​
Xscl = <strong>Use a graphing utility to select the graph of the function below,making sure to show at least two periods.​   ​​   ​ ​  Xscl =   ​   ​ ​​ Xscl =   ​ ​​ Xscl =   ​ ​ Xscl =  </strong> A)​   ​​ B)​   ​ C)​ ​   D)​​ ​   E)​ ​

Xscl = <strong>Use a graphing utility to select the graph of the function below,making sure to show at least two periods.​   ​​   ​ ​  Xscl =   ​   ​ ​​ Xscl =   ​ ​​ Xscl =   ​ ​ Xscl =  </strong> A)​   ​​ B)​   ​ C)​ ​   D)​​ ​   E)​ ​

A)​ <strong>Use a graphing utility to select the graph of the function below,making sure to show at least two periods.​   ​​   ​ ​  Xscl =   ​   ​ ​​ Xscl =   ​ ​​ Xscl =   ​ ​ Xscl =  </strong> A)​   ​​ B)​   ​ C)​ ​   D)​​ ​   E)​ ​   ​​
B)​ <strong>Use a graphing utility to select the graph of the function below,making sure to show at least two periods.​   ​​   ​ ​  Xscl =   ​   ​ ​​ Xscl =   ​ ​​ Xscl =   ​ ​ Xscl =  </strong> A)​   ​​ B)​   ​ C)​ ​   D)​​ ​   E)​ ​
C)​ ​ <strong>Use a graphing utility to select the graph of the function below,making sure to show at least two periods.​   ​​   ​ ​  Xscl =   ​   ​ ​​ Xscl =   ​ ​​ Xscl =   ​ ​ Xscl =  </strong> A)​   ​​ B)​   ​ C)​ ​   D)​​ ​   E)​ ​
D)​​ ​ <strong>Use a graphing utility to select the graph of the function below,making sure to show at least two periods.​   ​​   ​ ​  Xscl =   ​   ​ ​​ Xscl =   ​ ​​ Xscl =   ​ ​ Xscl =  </strong> A)​   ​​ B)​   ​ C)​ ​   D)​​ ​   E)​ ​
E)​ ​ <strong>Use a graphing utility to select the graph of the function below,making sure to show at least two periods.​   ​​   ​ ​  Xscl =   ​   ​ ​​ Xscl =   ​ ​​ Xscl =   ​ ​ Xscl =  </strong> A)​   ​​ B)​   ​ C)​ ​   D)​​ ​   E)​ ​
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46
Use a graphing utility to select the graph of the expression below,making sure to show at least two periods. ​​ <strong>Use a graphing utility to select the graph of the expression below,making sure to show at least two periods. ​​   ​</strong> A)   B)​   C)​   D)​   E)​

A) <strong>Use a graphing utility to select the graph of the expression below,making sure to show at least two periods. ​​   ​</strong> A)   B)​   C)​   D)​   E)​
B)​ <strong>Use a graphing utility to select the graph of the expression below,making sure to show at least two periods. ​​   ​</strong> A)   B)​   C)​   D)​   E)​
C)​ <strong>Use a graphing utility to select the graph of the expression below,making sure to show at least two periods. ​​   ​</strong> A)   B)​   C)​   D)​   E)​
D)​ <strong>Use a graphing utility to select the graph of the expression below,making sure to show at least two periods. ​​   ​</strong> A)   B)​   C)​   D)​   E)​
E)​ <strong>Use a graphing utility to select the graph of the expression below,making sure to show at least two periods. ​​   ​</strong> A)   B)​   C)​   D)​   E)​
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47
An object weighing W pounds is suspended from the ceiling by a steel spring (see figure).The weight is pulled downward (positive direction)from its equilibrium position and released.The resulting motion of the weight is described by the function​ <strong>An object weighing W pounds is suspended from the ceiling by a steel spring (see figure).The weight is pulled downward (positive direction)from its equilibrium position and released.The resulting motion of the weight is described by the function​   ​ where y is the distance (in feet)and t is the time (in seconds). Use a graphing utility to select the graph of the function. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​   ​ where y is the distance (in feet)and t is the time (in seconds).
Use a graphing utility to select the graph of the function.
​​ <strong>An object weighing W pounds is suspended from the ceiling by a steel spring (see figure).The weight is pulled downward (positive direction)from its equilibrium position and released.The resulting motion of the weight is described by the function​   ​ where y is the distance (in feet)and t is the time (in seconds). Use a graphing utility to select the graph of the function. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>An object weighing W pounds is suspended from the ceiling by a steel spring (see figure).The weight is pulled downward (positive direction)from its equilibrium position and released.The resulting motion of the weight is described by the function​   ​ where y is the distance (in feet)and t is the time (in seconds). Use a graphing utility to select the graph of the function. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>An object weighing W pounds is suspended from the ceiling by a steel spring (see figure).The weight is pulled downward (positive direction)from its equilibrium position and released.The resulting motion of the weight is described by the function​   ​ where y is the distance (in feet)and t is the time (in seconds). Use a graphing utility to select the graph of the function. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>An object weighing W pounds is suspended from the ceiling by a steel spring (see figure).The weight is pulled downward (positive direction)from its equilibrium position and released.The resulting motion of the weight is described by the function​   ​ where y is the distance (in feet)and t is the time (in seconds). Use a graphing utility to select the graph of the function. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>An object weighing W pounds is suspended from the ceiling by a steel spring (see figure).The weight is pulled downward (positive direction)from its equilibrium position and released.The resulting motion of the weight is described by the function​   ​ where y is the distance (in feet)and t is the time (in seconds). Use a graphing utility to select the graph of the function. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>An object weighing W pounds is suspended from the ceiling by a steel spring (see figure).The weight is pulled downward (positive direction)from its equilibrium position and released.The resulting motion of the weight is described by the function​   ​ where y is the distance (in feet)and t is the time (in seconds). Use a graphing utility to select the graph of the function. ​​   ​</strong> A)​   B)​   C)​   D)​   E)​
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48
Use the graph shown below to determine if the function is even,odd,or neither. ​​ <strong>Use the graph shown below to determine if the function is even,odd,or neither. ​​   ​  </strong> A)Even B)Odd C)Neither <strong>Use the graph shown below to determine if the function is even,odd,or neither. ​​   ​  </strong> A)Even B)Odd C)Neither

A)Even
B)Odd
C)Neither
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49
Determine which of the graphs below represents ​​ <strong>Determine which of the graphs below represents ​​   ​</strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Determine which of the graphs below represents ​​   ​</strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Determine which of the graphs below represents ​​   ​</strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Determine which of the graphs below represents ​​   ​</strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Determine which of the graphs below represents ​​   ​</strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Determine which of the graphs below represents ​​   ​</strong> A)​   B)​   C)​   D)​   E)​
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50
Use a graphing utility to select the graph of the function below.Describe the behavior of the function as x approaches 0. ​​ <strong>Use a graphing utility to select the graph of the function below.Describe the behavior of the function as x approaches 0. ​​  </strong> A)​   As x → 0,f(x)→ 0. B)​   ​As x → 0,f(x)→ 0. C)​   As x → 0,f(x)→ 0. D)​   As x → 0,f(x)→ 0. E)​   As x → 0,f(x)→ 0.

A)​ <strong>Use a graphing utility to select the graph of the function below.Describe the behavior of the function as x approaches 0. ​​  </strong> A)​   As x → 0,f(x)→ 0. B)​   ​As x → 0,f(x)→ 0. C)​   As x → 0,f(x)→ 0. D)​   As x → 0,f(x)→ 0. E)​   As x → 0,f(x)→ 0. As x → 0,f(x)→ 0.
B)​ <strong>Use a graphing utility to select the graph of the function below.Describe the behavior of the function as x approaches 0. ​​  </strong> A)​   As x → 0,f(x)→ 0. B)​   ​As x → 0,f(x)→ 0. C)​   As x → 0,f(x)→ 0. D)​   As x → 0,f(x)→ 0. E)​   As x → 0,f(x)→ 0. ​As x → 0,f(x)→ 0.
C)​ <strong>Use a graphing utility to select the graph of the function below.Describe the behavior of the function as x approaches 0. ​​  </strong> A)​   As x → 0,f(x)→ 0. B)​   ​As x → 0,f(x)→ 0. C)​   As x → 0,f(x)→ 0. D)​   As x → 0,f(x)→ 0. E)​   As x → 0,f(x)→ 0. As x → 0,f(x)→ 0.
D)​ <strong>Use a graphing utility to select the graph of the function below.Describe the behavior of the function as x approaches 0. ​​  </strong> A)​   As x → 0,f(x)→ 0. B)​   ​As x → 0,f(x)→ 0. C)​   As x → 0,f(x)→ 0. D)​   As x → 0,f(x)→ 0. E)​   As x → 0,f(x)→ 0. As x → 0,f(x)→ 0.
E)​ <strong>Use a graphing utility to select the graph of the function below.Describe the behavior of the function as x approaches 0. ​​  </strong> A)​   As x → 0,f(x)→ 0. B)​   ​As x → 0,f(x)→ 0. C)​   As x → 0,f(x)→ 0. D)​   As x → 0,f(x)→ 0. E)​   As x → 0,f(x)→ 0. As x → 0,f(x)→ 0.
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51
Which of the following functions is represented by the graph below? <strong>Which of the following functions is represented by the graph below?  </strong> A)​   B)​   C)​   D)​   E)​

A)​ <strong>Which of the following functions is represented by the graph below?  </strong> A)​   B)​   C)​   D)​   E)​
B)​ <strong>Which of the following functions is represented by the graph below?  </strong> A)​   B)​   C)​   D)​   E)​
C)​ <strong>Which of the following functions is represented by the graph below?  </strong> A)​   B)​   C)​   D)​   E)​
D)​ <strong>Which of the following functions is represented by the graph below?  </strong> A)​   B)​   C)​   D)​   E)​
E)​ <strong>Which of the following functions is represented by the graph below?  </strong> A)​   B)​   C)​   D)​   E)​
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Unlock Deck
Unlock for access to all 51 flashcards in this deck.