Question 1

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given
interval.
-(0, 1)

Accepted Answer

A)  constant 
B)  increasing 
C)  decreasing 
A)  constant 
B)  increasing 
C)  decreasing

Question 2

Determine algebraically whether the function is even, odd, or neither.
-$$f ( x ) = \frac { - 2 x } { | x | }$$

Accepted Answer

A)  even 
B)  odd 
C)  neither 
A)  even 
B)  odd 
C)  neither

Question 3

Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function.
-y = f(x + 4)

Accepted Answer

A)  (2, 0) 
B)  (6, 4) 
C)  (2, 8) 
D)  (-2, 4) 
A)  (2, 0) 
B)  (6, 4) 
C)  (2, 8) 
D)  (-2, 4)

Question 4

The graph of a piecewise-defined function is given. Write a definition for the function.
-

Accepted Answer

A) 
 $f ( x ) = \left\{ \begin{array} { l l } \frac { 1 } { 2 } x & \text { if } - 4 < x < 0 \ x & \text { if } 0 < x < 3 \end{array} \right.$ 
B) 
$f ( x ) = \left\{ \begin{array} { l l } 
- 2 x & \text { if } - 4 \leq x \leq 0 \
x & \text { if } 0 < x \leq 3
\end{array} \right.$ 
C) 
$f ( x ) = \left\{ \begin{array} { l l } 
- \frac { 1 } { 2 } x & \text { if } - 4 < x < 0 \
x & \text { if } 0 < x < 3
\end{array} \right.$ 
D) 
$f ( x ) = \left\{ \begin{array} { l l } 
- \frac { 1 } { 2 } x & \text { if } - 4 \leq x \leq 0 \
x & \text { if } 0 < x \leq 3
\end{array} \right.$ 
A) 
 $f ( x ) = \left\{ \begin{array} { l l } \frac { 1 } { 2 } x & \text { if } - 4 < x < 0 \ x & \text { if } 0 < x < 3 \end{array} \right.$ 
B) 
$f ( x ) = \left\{ \begin{array} { l l } 
- 2 x & \text { if } - 4 \leq x \leq 0 \
x & \text { if } 0 < x \leq 3
\end{array} \right.$ 
C) 
$f ( x ) = \left\{ \begin{array} { l l } 
- \frac { 1 } { 2 } x & \text { if } - 4 < x < 0 \
x & \text { if } 0 < x < 3
\end{array} \right.$ 
D) 
$f ( x ) = \left\{ \begin{array} { l l } 
- \frac { 1 } { 2 } x & \text { if } - 4 \leq x \leq 0 \
x & \text { if } 0 < x \leq 3
\end{array} \right.$

Question 5

Graph the function.
-$f(x)=\left\{\begin{array}{ll}
x+5 & \text { if } x<1 \
-2 & \text { if } x \geq 1
\end{array}\right.$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 6

Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin.
-

Accepted Answer

A)  function
domain: all real numbers 
Range: {y|y ≤9} 
Intercepts: (0, -4), (8, 0), (0, 2) 
Symmetry: none 
B)  function 
domain: {x|x ≤9}
range: all real numbers
intercepts: (-4, 0), (0, 8), (2, 0)
symmetry: y-axis 
C)  function
domain: all real numbers
Range: {y|y ≤9}
Intercepts: (-4, 0), (0, 8), (2, 0)
Symmetry: none 
D)  not a function 
A)  function
domain: all real numbers 
Range: {y|y ≤9} 
Intercepts: (0, -4), (8, 0), (0, 2) 
Symmetry: none 
B)  function 
domain: {x|x ≤9}
range: all real numbers
intercepts: (-4, 0), (0, 8), (2, 0)
symmetry: y-axis 
C)  function
domain: all real numbers
Range: {y|y ≤9}
Intercepts: (-4, 0), (0, 8), (2, 0)
Symmetry: none 
D)  not a function

Question 7

Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function.
-y = 2f(x)

Accepted Answer

A)  (5, 1) 
B)  (1, 4) 
C)  (2, 8) 
D)  (4, 4) 
A)  (5, 1) 
B)  (1, 4) 
C)  (2, 8) 
D)  (4, 4)

Question 8

Locate any intercepts of the function.
-$$f ( x ) = \left\{ \begin{array} { l l } 
1 & \text { if } - 8 \leq x < - 2 \
| x | & \text { if } - 2 \leq x < 8 \
\sqrt [ 3 ] { x } & \text { if } 8 \leq x \leq 17
\end{array} \right.$$

Accepted Answer

A)  (0, 0) 
B)  (0, 0), (0, 1) 
C)  (0, 0), (1, 0) 
D)  none 
A)  (0, 0) 
B)  (0, 0), (0, 1) 
C)  (0, 0), (1, 0) 
D)  none

Question 9

Solve the problem.
-The wind chill factor represents the equivalent air temperature at a standard wind speed that would produce
the same heat loss as the given temperature and wind speed. One formula for computing the equivalent
temperature is $$W ( t ) = \left\{ \begin{array} { l l } 
t & \text { if } 0 \leq v < 1.79 \
33 - \frac { ( 10.45 + 10 \sqrt { v } - v ) ( 33 - t ) } { 22.04 } & \text { if } 1.79 \leq v < 20 \
33 - 1.5958 ( 33 - t ) & \text { if } v \geq 20
\end{array} \right.$$ where v represents the wind speed (in meters per second) and t represents the air temperature (°C). Compute
the wind chill for an air temperature of 15°C and a wind speed of 12 meters per second. (Round the answer to
one decimal place.)

Accepted Answer

The answer of Solve the problem.
-The wind chill factor represents...

Question 10

Find the value for the function.
-Find f$( x + 1 ) \text { when } f ( x ) = \frac { x ^ { 2 } - 2 } { x + 5 }$

Accepted Answer

A)  ( $\frac { x ^ { 2 } + 2 x - 1 } { x - 4 }$ 
B)  $\frac { x ^ { 2 } - 1 } { x + 6 }$ 
C)  $\frac { x ^ { 2 } + 2 x - 1 } { x + 6 }$ 
D)  $\frac { x ^ { 2 } + 2 x + 3 } { x + 6 }$ 
A)  ( $\frac { x ^ { 2 } + 2 x - 1 } { x - 4 }$ 
B)  $\frac { x ^ { 2 } - 1 } { x + 6 }$ 
C)  $\frac { x ^ { 2 } + 2 x - 1 } { x + 6 }$ 
D)  $\frac { x ^ { 2 } + 2 x + 3 } { x + 6 }$

Question 11

The graph of a function f is given. Use the graph to answer the question.
-For what numbers x is f(x) = 0?

Accepted Answer

A)  (-3, 3.5) 
B)  -3, 3.5, 5 
C)  (-5, -3), (3.5, 5) 
D)  -3 
A)  (-3, 3.5) 
B)  -3, 3.5, 5 
C)  (-5, -3), (3.5, 5) 
D)  -3

Question 12

Graph the function.
-$f ( x ) = \left\{ \begin{array} { l l } 
x + 2 & \text { if } - 9 \leq x  3
\end{array} \right.$

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 13

The graph of a function f is given. Use the graph to answer the question.
-For which of the following values of x does f(x) = -8?

Accepted Answer

A)  -8 
B)  6 
C)  4 
D)  0 
A)  -8 
B)  6 
C)  4 
D)  0

Question 14

Graph the function by starting with the graph of the basic function and then using the techniques of shifting,
compressing, stretching, and/or reflecting.
-f(x) =4x2

Accepted Answer

A) 
  
B) 
  
C) 
  
D) 
  
A) 
  
B) 
  
C) 
  
D)

Question 15

Find the domain of the function.
-$$\frac { x } { \sqrt { x - 10 } }$$

Accepted Answer

A)  {x|x ≥ 10} 
B)  all real numbers 
C)  {x|x > 10} 
D)  {x|x ≠10} 
A)  {x|x ≥ 10} 
B)  all real numbers 
C)  {x|x > 10} 
D)  {x|x ≠10}

Question 16

The graph of a function is given. Decide whether it is even, odd, or neither.
-

Accepted Answer

A)  even 
B)  odd 
C)  neither 
A)  even 
B)  odd 
C)  neither

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval. -(0, 1)

Determine algebraically whether the function is even, odd, or neither. - $f ( x ) = \frac { - 2 x } { | x | }$

Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function. -y = f(x + 4)

The graph of a piecewise-defined function is given. Write a definition for the function. -

Graph the function. - $f(x)=\left\{\begin{array}{ll}x+5 & \text { if } x<1 \\-2 & \text { if } x \geq 1\end{array}\right.$ $Graph the function. - f(x)=\left\{\begin{array}{ll} x+5 & \text { if } x<1 \\ -2 & \text { if } x \geq 1 \end{array}\right.$

Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin. -

Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function. -y = 2f(x)

Locate any intercepts of the function. - $f ( x ) = \left\{ \begin{array} { l l } 1 & \text { if } - 8 \leq x < - 2 \\| x | & \text { if } - 2 \leq x < 8 \\\sqrt [ 3 ] { x } & \text { if } 8 \leq x \leq 17\end{array} \right.$

Find the value for the function. -Find f $( x + 1 ) \text { when } f ( x ) = \frac { x ^ { 2 } - 2 } { x + 5 }$

The graph of a function f is given. Use the graph to answer the question. -For what numbers x is f(x) = 0?

The graph of a function f is given. Use the graph to answer the question. -For which of the following values of x does f(x) = -8?

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. -f(x) =4x²

Find the domain of the function. - $\frac { x } { \sqrt { x - 10 } }$

The graph of a function is given. Decide whether it is even, odd, or neither. -

Linear and Quadratic Functions

Polynomial and Rational Functions

Conics

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Filters

Exam 1: Functions and Their Graphs

The graph of a function is given. Determine whether the function is increasing, decreasing, or constant on the given interval. -(0, 1)

Determine algebraically whether the function is even, odd, or neither. - f(x)=−2x∣x∣f ( x ) = \frac { - 2 x } { | x | }f(x)=∣x∣−2x​

Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function. -y = f(x + 4)

The graph of a piecewise-defined function is given. Write a definition for the function. -

Graph the function. - f(x)={x+5 if x<1−2 if x≥1f(x)=\left\{\begin{array}{ll}x+5 & \text { if } x<1 \\-2 & \text { if } x \geq 1\end{array}\right.f(x)={x+5−2​ if x<1 if x≥1​

Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin. -

Suppose the point (2, 4) is on the graph of y = f(x). Find a point on the graph of the given function. -y = 2f(x)

Find the value for the function. -Find f (x+1) when f(x)=x2−2x+5( x + 1 ) \text { when } f ( x ) = \frac { x ^ { 2 } - 2 } { x + 5 }(x+1) when f(x)=x+5x2−2​

The graph of a function f is given. Use the graph to answer the question. -For what numbers x is f(x) = 0?

Graph the function. - f(x)={x+2 if −9≤x<3−7 if x=3−x+4 if x>3f ( x ) = \left\{ \begin{array} { l l } x + 2 & \text { if } - 9 \leq x < 3 \\- 7 & \text { if } x = 3 \\- x + 4 & \text { if } x > 3\end{array} \right.f(x)=⎩⎨⎧​x+2−7−x+4​ if −9≤x<3 if x=3 if x>3​

The graph of a function f is given. Use the graph to answer the question. -For which of the following values of x does f(x) = -8?

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. -f(x) =4x2

Find the domain of the function. - xx−10\frac { x } { \sqrt { x - 10 } }x−10​x​

The graph of a function is given. Decide whether it is even, odd, or neither. -

Linear and Quadratic Functions

Polynomial and Rational Functions

Conics

Systems of Equations and Inequalities

Sequences; Induction; the Binomial Theorem

Counting and Probability

Filters

Determine algebraically whether the function is even, odd, or neither. - $f ( x ) = \frac { - 2 x } { | x | }$

Graph the function. - $f(x)=\left\{\begin{array}{ll}x+5 & \text { if } x<1 \\-2 & \text { if } x \geq 1\end{array}\right.$ $Graph the function. - f(x)=\left\{\begin{array}{ll} x+5 & \text { if } x<1 \\ -2 & \text { if } x \geq 1 \end{array}\right.$

Find the value for the function. -Find f $( x + 1 ) \text { when } f ( x ) = \frac { x ^ { 2 } - 2 } { x + 5 }$

Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting. -f(x) =4x²

Find the domain of the function. - $\frac { x } { \sqrt { x - 10 } }$