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Deck 4: Graphing and Inverse Functions
Full screen (f)
Question
Use your graphing calculator to graph the pair of functions for 
together on a single coordinate system. (Make sure your calculator is set to radian mode.) 
A)
B)
C)
D)
E)
together on a single coordinate system. (Make sure your calculator is set to radian mode.) A)
B)
C)
D)
E)
Question
Sketch the graph of y = csc x between x = -4 π and x = 4 π by extending the graph for x between 0 and 2 π . 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
If 
, find sin(- θ ).
, find sin(- θ ). Question
Find all values of x for which the following is true. sin x = 1
A)kπ
B)
C)
D)
E)
A)kπ
B)
C)
D)
E)
Question
Evaluate without using a calculator. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the algebraic expression that is equal to cos (180° - θ ).
A)
B)-sin θ
C)sin θ
D)-cos θ
E)cos θ
A)
B)-sin θ
C)sin θ
D)-cos θ
E)cos θ
Question
Use your graphing calculator to graph the family of functions for 
together on a single coordinate system. (Make sure your calculator is set to radian mode.) y = A sin x for A = 1, 4, 6
A)
B)
C)
D)
E)
together on a single coordinate system. (Make sure your calculator is set to radian mode.) y = A sin x for A = 1, 4, 6
A)
B)
C)
D)
E)
Question
Use your graphing calculator to graph the pair of functions for 
. (Make sure your calculator is set to radian mode.) y = cos Bx for B = 1, 3
A)
B)
C)
D)
E)
. (Make sure your calculator is set to radian mode.) y = cos Bx for B = 1, 3
A)
B)
C)
D)
E)
Question
Question
Find all values of x for which the following is true: sec x = -1
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Match between columns
Question
Match between columns
Question
Sketch the graph of y = cos x between x = -4 π and x = 4 π by extending the graph for x between 0 and 2 π . 
A)
B)
C)
A)
B)
C)
Question
Prove the identity. 
Question
Use your graphing calculator to graph the pair of functions for 
together on a single coordinate system. (Make sure your calculator is set to radian mode.) 
A)
B)
C)
D)
E)
together on a single coordinate system. (Make sure your calculator is set to radian mode.) A)
B)
C)
D)
E)
Question
Find the algebraic expression that is equal to sec θ - cos(- θ ).
A)
B)
C)
D)tan 2 θ
E)
A)
B)
C)
D)tan 2 θ
E)
Question
If 
, find cos (- θ ).
A)
B)
C)04
D)
E)
, find cos (- θ ). A)
B)
C)04
D)
E)
Question
Find all values of x for which the following is true. sec x is undefined.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Match between columns
Question
Question
Identify the graph of the function 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Identify the graph of the function. y = cos 3 x
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Identify the graph of the equation over the given interval. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Give the amplitude and period of the graph. 
A)Amplitude = 9, period = π .
B)Amplitude = 18, period = 3 π .
C)Amplitude = 9, period = 3 π .
D)Amplitude = 18, period =
.
E)Amplitude = 18, period = π .
A)Amplitude = 9, period = π .
B)Amplitude = 18, period = 3 π .
C)Amplitude = 9, period = 3 π .
D)Amplitude = 18, period =
.E)Amplitude = 18, period = π .
Question
Match between columns
Question
Graph one complete cycle of 
. Label the axes accurately.
A)
B)
C)
D)
E)
. Label the axes accurately. A)
B)
C)
D)
E)
Question
A weight is hung from a spring and set in motion so that it moves up and down continuously. The velocity v of the weight at any time t is given by the equation v = 3.5sin 4 πt where v is measured in meters per second and t is measured in seconds. Find the maximum velocity of the weight and the amount of time it takes for the weight to move from its lowest position to its highest position.
A)The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is
seconds.
B)The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is
seconds.
C)The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is
seconds..
D)The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is
seconds.
E)The maximum velocity is 2.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is
seconds.
A)The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is
seconds.B)The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is
seconds.C)The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is
seconds..D)The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is
seconds.E)The maximum velocity is 2.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is
seconds. Question
Use the graph of the equation 
shown below to identify the graph of one complete cycle of the equation 
. 
A)
B)
C)
D)
E)
shown below to identify the graph of one complete cycle of the equation . A)
B)
C)
D)
E)
Question
Graph one complete cycle for the function. Label the axes so that the amplitude (if defined)and period are easy to read. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Give the amplitude and period of the graph. 
A)Amplitude = 3, period = 4 π .
B)Amplitude = 4, period =
.
C)Amplitude = 4, period = 4 π .
D)Amplitude = 3, period = 8 π .
E)Amplitude = 4, period = 8 π .
A)Amplitude = 3, period = 4 π .
B)Amplitude = 4, period =
.C)Amplitude = 4, period = 4 π .
D)Amplitude = 3, period = 8 π .
E)Amplitude = 4, period = 8 π .
Question
Use the graph of the equation 
shown below to identify the graph of one complete cycle of the equation 
. 
A)
B)
C)
D) 
E)
shown below to identify the graph of one complete cycle of the equation . A)
B)
C)
D)
E)
Question
Identify the graph of the function y = 2cos πx , 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Identify the graph of the equation over the given interval. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The current in an alternating circuit varies in intensity with time. If I represents the intensity of the current and t represents time, then the relationship between I and t is given by I = 20cos 160 πt where I is measured in amperes and t is measured in seconds. Find the maximum value of I and the time it takes for I to go through one complete cycle.
A)The maximum value of I is 40 amperes; one complete cycle takes
seconds.
B)The maximum value of I is 5 amperes; one complete cycle takes
seconds.
C)The maximum value of I is 20 amperes; one complete cycle takes
seconds.
D)The maximum value of I is 40 amperes; one complete cycle takes
seconds.
E)The maximum value of I is 20 amperes; one complete cycle takes
seconds.
A)The maximum value of I is 40 amperes; one complete cycle takes
seconds.B)The maximum value of I is 5 amperes; one complete cycle takes
seconds.C)The maximum value of I is 20 amperes; one complete cycle takes
seconds.D)The maximum value of I is 40 amperes; one complete cycle takes
seconds.E)The maximum value of I is 20 amperes; one complete cycle takes
seconds. Question
Identify the graph of the function y = 4sin 2 x
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Identify the graph of the function 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Identify the graph of the function 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Sketch the graph of 
from x = 0 to x = 2 π by making a table using multiples of 
for x .
A)
B)
C)
D)
E)
from x = 0 to x = 2 π by making a table using multiples of for x . A)
B)
C)
D)
E)
Question
Match between columns
Question
Use the graph of the equation 
shown below to identify the graph of one complete cycle of the equation 
. 
A)
B)
C)
D)
E)
shown below to identify the graph of one complete cycle of the equation . A)
B)
C)
D)
E)
Question
Identify the correct graph of the function: 
A)
B)
C) 
D)
E)
A)
B)
C)
D)
E)
Question
The periods for 
and 
are π . The graphs of 
and 
will have periods 
and phase shifts 
, for 
Use these facts to identify the graph of the function 
A)
B)
C) 
D)
E)
and are π . The graphs of and will have periods and phase shifts , for Use these facts to identify the graph of the function A)
B)
C)
D)
E)
Question
Graph one complete cycle of 
. Label the axes accurately.
A)
B)
C) 
D) 
E) 
. Label the axes accurately. A)
B)
C)
D)
E)
Question
Identify the graph of the function 
A)
Period = 8
B)
Period = 8
C)
Period = 8
D)
Period = 8
E)
Period = 8
A)
Period = 8
B)
Period = 8C)
Period = 8
D)
Period = 8
E)
Period = 8
Question
The periods for 
and 
are π . The graphs of 
and 
will have periods 
and phase shifts 
, for 
Use these facts to identify the graph of the function 
A)
B)
C)
D)
E)
and are π . The graphs of and will have periods and phase shifts , for Use these facts to identify the graph of the function A)
B)
C)
D)
E)
Question
Identify the amplitude and phase shift for the equation. 
A)Amplitude = 4 Phase shift =
B)Amplitude = 1 Phase shift =
C)Amplitude = 5 Phase shift =
D)Amplitude = 4 Phase shift =
E)Amplitude = 1 Phase shift =
A)Amplitude = 4 Phase shift =
B)Amplitude = 1 Phase shift =
C)Amplitude = 5 Phase shift =
D)Amplitude = 4 Phase shift =
E)Amplitude = 1 Phase shift =
Question
Identify the graph of the function 
A) 
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Identify the graph of 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Identify the amplitude and phase shift for this equation. 
A)Amplitude = 3 Phase shift =
B)Amplitude = 2 Phase shift =
C)Amplitude = 2 Phase shift =
D)Amplitude = 2 Phase shift =
E)Amplitude = 2 Phase shift =
A)Amplitude = 3 Phase shift =
B)Amplitude = 2 Phase shift =
C)Amplitude = 2 Phase shift =
D)Amplitude = 2 Phase shift =
E)Amplitude = 2 Phase shift =
Question
Identify the graph of the equation over the given interval. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph 
on the same coordinate system. 
A)
B)
C)
D)
E)
on the same coordinate system. A)
B)
C)
D)
E)
Question
For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = cos x on the same coordinate system. 
A)
Phase Shift = 
B)
Phase Shift = 
C)
Phase Shift = 
D)
Phase Shift = 
E)
Phase Shift = 
A)
Phase Shift = B)
Phase Shift = C)
Phase Shift = D)
Phase Shift = E)
Phase Shift = Question
Identify the graph of the equation. 
A)
B)
C) 
D)
E)
A)
B)
C)
D)
E)
Question
Sketch one complete cycle of the following function by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships. 
A)
B)
C) 
D) 
E) 
A)
B)
C)
D)
E)
Question
Graph one complete cycle of the graph. Label the axes accurately and identify the period. 
A) 
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Use the graph of the equation 
shown below to identify the graph of one complete cycle of the equation 
. 
A)
B)
C)
D)
E)
shown below to identify the graph of one complete cycle of the equation . A)
B)
C)
D)
E)
Question
For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = sin x on the same coordinate system. 
A)
B)
C)
D)
E) 
A)
B)
C)
D)
E)
Question
Graph one complete cycle of 
. Label the axes accurately.
A)
B)
C)
D)
E)
. Label the axes accurately. A)
B)
C)
D)
E)
Question
Using the graph of 
for reference, select the correct graph for 
. 
A)
B)
C)
D)
E)
for reference, select the correct graph for .
A)
B)
C)
D)
E)
Question
For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. In each case, graph y = cos x on the same coordinate system. 
A)
B)
C)
D)
E) 
A)
B)
C)
D)
E)
Question
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the equation of the line. Write your answer in slope-intercept form, 
. 
. Question
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The diameter of a Ferris wheel is 161 feet, it rotates at 0.05 revolutions per minute, and the bottom of the wheel is 7 feet above the ground. Find an expression that gives a passenger's height above the ground at any time t (in minutes)during the ride. Assume the passenger starts the ride at the bottom of the wheel.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Find the equation of the line. Write your answer in slope-intercept form, 
. 
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
Question
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. 
Question
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. 
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Question
Sketch one complete cycle of the following function by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships. 
A)
B)
C) 
D) 
E) 
A)
B)
C)
D)
E)
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Full screen (f)
Deck 4: Graphing and Inverse Functions
1
Use your graphing calculator to graph the pair of functions for together on a single coordinate system. (Make sure your calculator is set to radian mode.)
A)
B)
C)
D)
E)
together on a single coordinate system. (Make sure your calculator is set to radian mode.) A)
B)
C)
D)
E)
2
Sketch the graph of y = csc x between x = -4 π and x = 4 π by extending the graph for x between 0 and 2 π .
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
3
If , find sin(- θ ).
, find sin(- θ ).
4
Find all values of x for which the following is true. sin x = 1
A)kπ
B)
C)
D)
E)
A)kπ
B)
C)
D)
E)
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5
Evaluate without using a calculator.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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Unlock for access to all 156 flashcards in this deck.
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6
Find the algebraic expression that is equal to cos (180° - θ ).
A)
B)-sin θ
C)sin θ
D)-cos θ
E)cos θ
A)
B)-sin θ
C)sin θ
D)-cos θ
E)cos θ
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Unlock for access to all 156 flashcards in this deck.
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7
Use your graphing calculator to graph the family of functions for together on a single coordinate system. (Make sure your calculator is set to radian mode.) y = A sin x for A = 1, 4, 6
A)
B)
C)
D)
E)
together on a single coordinate system. (Make sure your calculator is set to radian mode.) y = A sin x for A = 1, 4, 6
A)
B)
C)
D)
E)
Unlock Deck
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8
Use your graphing calculator to graph the pair of functions for . (Make sure your calculator is set to radian mode.) y = cos Bx for B = 1, 3
A)
B)
C)
D)
E)
. (Make sure your calculator is set to radian mode.) y = cos Bx for B = 1, 3
A)
B)
C)
D)
E)
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9
Prove the identity.
cos(- β )csc( - β )tan( - β )= 1
cos(- β )csc( - β )tan( - β )= 1
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10
Find all values of x for which the following is true: sec x = -1
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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11
Match between columns
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12
Match between columns
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13
Sketch the graph of y = cos x between x = -4 π and x = 4 π by extending the graph for x between 0 and 2 π .
A)
B)
C)
A)
B)
C)
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14
Prove the identity.
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15
Use your graphing calculator to graph the pair of functions for together on a single coordinate system. (Make sure your calculator is set to radian mode.)
A)
B)
C)
D)
E)
together on a single coordinate system. (Make sure your calculator is set to radian mode.) A)
B)
C)
D)
E)
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16
Find the algebraic expression that is equal to sec θ - cos(- θ ).
A)
B)
C)
D)tan 2 θ
E)
A)
B)
C)
D)tan 2 θ
E)
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17
If , find cos (- θ ).
A)
B)
C)04
D)
E)
, find cos (- θ ). A)
B)
C)04
D)
E)
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18
Find all values of x for which the following is true. sec x is undefined.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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19
Match between columns
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20
Find the algebraic expression that is equal to sin(- θ )sec( - θ )cot( - θ ).
A)1
B)sec( - θ )
C)csc( - θ )
D)cos( - θ )
E)sin( - θ )
A)1
B)sec( - θ )
C)csc( - θ )
D)cos( - θ )
E)sin( - θ )
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21
Identify the graph of the function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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22
Identify the graph of the function. y = cos 3 x
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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23
Identify the graph of the equation over the given interval.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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24
Give the amplitude and period of the graph.
A)Amplitude = 9, period = π .
B)Amplitude = 18, period = 3 π .
C)Amplitude = 9, period = 3 π .
D)Amplitude = 18, period = .
E)Amplitude = 18, period = π .
A)Amplitude = 9, period = π .
B)Amplitude = 18, period = 3 π .
C)Amplitude = 9, period = 3 π .
D)Amplitude = 18, period =
.E)Amplitude = 18, period = π .
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25
Match between columns
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26
Graph one complete cycle of . Label the axes accurately.
A)
B)
C)
D)
E)
. Label the axes accurately. A)
B)
C)
D)
E)
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27
A weight is hung from a spring and set in motion so that it moves up and down continuously. The velocity v of the weight at any time t is given by the equation v = 3.5sin 4 πt where v is measured in meters per second and t is measured in seconds. Find the maximum velocity of the weight and the amount of time it takes for the weight to move from its lowest position to its highest position.
A)The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is seconds.
B)The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is seconds.
C)The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is seconds..
D)The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is seconds.
E)The maximum velocity is 2.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is seconds.
A)The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is
seconds.B)The maximum velocity is 3.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is
seconds.C)The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is
seconds..D)The maximum velocity is 7 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is
seconds.E)The maximum velocity is 2.5 meters per second ; the time it takes for the weight to move from its lowest position to its highest position is
seconds. Unlock Deck
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28
Use the graph of the equation shown below to identify the graph of one complete cycle of the equation .
A)
B)
C)
D)
E)
shown below to identify the graph of one complete cycle of the equation . A)
B)
C)
D)
E)
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29
Graph one complete cycle for the function. Label the axes so that the amplitude (if defined)and period are easy to read.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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30
Give the amplitude and period of the graph.
A)Amplitude = 3, period = 4 π .
B)Amplitude = 4, period = .
C)Amplitude = 4, period = 4 π .
D)Amplitude = 3, period = 8 π .
E)Amplitude = 4, period = 8 π .
A)Amplitude = 3, period = 4 π .
B)Amplitude = 4, period =
.C)Amplitude = 4, period = 4 π .
D)Amplitude = 3, period = 8 π .
E)Amplitude = 4, period = 8 π .
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31
Use the graph of the equation shown below to identify the graph of one complete cycle of the equation .
A)
B)
C)
D)
E)
shown below to identify the graph of one complete cycle of the equation . A)
B)
C)
D)
E)
Unlock Deck
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32
Identify the graph of the function y = 2cos πx ,
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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33
Identify the graph of the equation over the given interval.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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34
The current in an alternating circuit varies in intensity with time. If I represents the intensity of the current and t represents time, then the relationship between I and t is given by I = 20cos 160 πt where I is measured in amperes and t is measured in seconds. Find the maximum value of I and the time it takes for I to go through one complete cycle.
A)The maximum value of I is 40 amperes; one complete cycle takes seconds.
B)The maximum value of I is 5 amperes; one complete cycle takes seconds.
C)The maximum value of I is 20 amperes; one complete cycle takes seconds.
D)The maximum value of I is 40 amperes; one complete cycle takes seconds.
E)The maximum value of I is 20 amperes; one complete cycle takes seconds.
A)The maximum value of I is 40 amperes; one complete cycle takes
seconds.B)The maximum value of I is 5 amperes; one complete cycle takes
seconds.C)The maximum value of I is 20 amperes; one complete cycle takes
seconds.D)The maximum value of I is 40 amperes; one complete cycle takes
seconds.E)The maximum value of I is 20 amperes; one complete cycle takes
seconds. Unlock Deck
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35
Identify the graph of the function y = 4sin 2 x
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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36
Identify the graph of the function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 156 flashcards in this deck.
Unlock Deck
k this deck
37
Identify the graph of the function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 156 flashcards in this deck.
Unlock Deck
k this deck
38
Sketch the graph of from x = 0 to x = 2 π by making a table using multiples of for x .
A)
B)
C)
D)
E)
from x = 0 to x = 2 π by making a table using multiples of for x . A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
39
Match between columns
Unlock Deck
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k this deck
40
Use the graph of the equation shown below to identify the graph of one complete cycle of the equation .
A)
B)
C)
D)
E)
shown below to identify the graph of one complete cycle of the equation . A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 156 flashcards in this deck.
Unlock Deck
k this deck
41
Identify the correct graph of the function:
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
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42
The periods for and are π . The graphs of and will have periods and phase shifts , for Use these facts to identify the graph of the function
A)
B)
C)
D)
E)
and are π . The graphs of and will have periods and phase shifts , for Use these facts to identify the graph of the function A)
B)
C)
D)
E)
Unlock Deck
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43
Graph one complete cycle of . Label the axes accurately.
A)
B)
C)
D)
E)
. Label the axes accurately. A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 156 flashcards in this deck.
Unlock Deck
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44
Identify the graph of the function
A)
Period = 8
B) Period = 8
C)
Period = 8
D)
Period = 8
E)
Period = 8
A)
Period = 8
B)
Period = 8C)
Period = 8
D)
Period = 8
E)
Period = 8
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45
The periods for and are π . The graphs of and will have periods and phase shifts , for Use these facts to identify the graph of the function
A)
B)
C)
D)
E)
and are π . The graphs of and will have periods and phase shifts , for Use these facts to identify the graph of the function A)
B)
C)
D)
E)
Unlock Deck
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46
Identify the amplitude and phase shift for the equation.
A)Amplitude = 4 Phase shift =
B)Amplitude = 1 Phase shift =
C)Amplitude = 5 Phase shift =
D)Amplitude = 4 Phase shift =
E)Amplitude = 1 Phase shift =
A)Amplitude = 4 Phase shift =
B)Amplitude = 1 Phase shift =
C)Amplitude = 5 Phase shift =
D)Amplitude = 4 Phase shift =
E)Amplitude = 1 Phase shift =
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47
Identify the graph of the function
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 156 flashcards in this deck.
Unlock Deck
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48
Identify the graph of
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
49
Identify the amplitude and phase shift for this equation.
A)Amplitude = 3 Phase shift =
B)Amplitude = 2 Phase shift =
C)Amplitude = 2 Phase shift =
D)Amplitude = 2 Phase shift =
E)Amplitude = 2 Phase shift =
A)Amplitude = 3 Phase shift =
B)Amplitude = 2 Phase shift =
C)Amplitude = 2 Phase shift =
D)Amplitude = 2 Phase shift =
E)Amplitude = 2 Phase shift =
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50
Identify the graph of the equation over the given interval.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
51
For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph on the same coordinate system.
A)
B)
C)
D)
E)
on the same coordinate system. A)
B)
C)
D)
E)
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k this deck
52
For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = cos x on the same coordinate system.
A) Phase Shift =
B) Phase Shift =
C) Phase Shift =
D) Phase Shift =
E) Phase Shift =
A)
Phase Shift = B)
Phase Shift = C)
Phase Shift = D)
Phase Shift = E)
Phase Shift = Unlock Deck
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53
Identify the graph of the equation.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 156 flashcards in this deck.
Unlock Deck
k this deck
54
Sketch one complete cycle of the following function by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
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55
Graph one complete cycle of the graph. Label the axes accurately and identify the period.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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56
Use the graph of the equation shown below to identify the graph of one complete cycle of the equation .
A)
B)
C)
D)
E)
shown below to identify the graph of one complete cycle of the equation . A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 156 flashcards in this deck.
Unlock Deck
k this deck
57
For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. Graph y = sin x on the same coordinate system.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
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58
Graph one complete cycle of . Label the axes accurately.
A)
B)
C)
D)
E)
. Label the axes accurately. A)
B)
C)
D)
E)
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59
Using the graph of for reference, select the correct graph for .
A)
B)
C)
D)
E)
for reference, select the correct graph for .
A)
B)
C)
D)
E)
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60
For the given equation, first identify the phase shift and then sketch one complete cycle of the graph. In each case, graph y = cos x on the same coordinate system.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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Unlock Deck
k this deck
61
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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62
Find the equation of the line. Write your answer in slope-intercept form, .
. Unlock Deck
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63
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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64
The diameter of a Ferris wheel is 161 feet, it rotates at 0.05 revolutions per minute, and the bottom of the wheel is 7 feet above the ground. Find an expression that gives a passenger's height above the ground at any time t (in minutes)during the ride. Assume the passenger starts the ride at the bottom of the wheel.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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65
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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66
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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67
Find the equation of the line. Write your answer in slope-intercept form, .
A)
B)
C)
D)
E)
. A)
B)
C)
D)
E)
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68
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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69
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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70
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
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71
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.
Unlock Deck
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72
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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73
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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74
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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75
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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76
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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77
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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78
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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k this deck
79
The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
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80
Sketch one complete cycle of the following function by first graphing the appropriate sine or cosine curve and then using the reciprocal relationships.
A)
B)
C)
D)
E)
A)
B)
C)
D)
E)
Unlock Deck
Unlock for access to all 156 flashcards in this deck.
Unlock Deck
k this deck
Unlock Deck
Unlock for access to all 156 flashcards in this deck.
