Question 1

Write an equation for the line described. Give your answer in slope-intercept form.
-$$\mathrm { m } = - 4 , \mathrm {~b} = 8$$

Accepted Answer

A)  $- 4 x + 8 y = 0$ 
B)  $y = - 2 x + 8$ 
C)  $y = - 4 x + 8$ 
D)  $y = 8 x - 4$ 
A)  $- 4 x + 8 y = 0$ 
B)  $y = - 2 x + 8$ 
C)  $y = - 4 x + 8$ 
D)  $y = 8 x - 4$ C

Question 2

Graph the line described.
-through $( - 3 , - 10 ) ; \mathrm { m } = 5$

Accepted Answer

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

Question 3

Decide whether the relation defines a function.
-$y = x ^ { 6 }$

Accepted Answer

A)  Not a function 
B)  Function 
A)  Not a function 
B)  Function B

Question 4

Select the equation that describes the graph shown.

Accepted Answer

A)  $y = x ^ { 2 } - 3$ 
B)  $y = ( x + 2 ) ^ { 2 } - 3$ 
C)  $y = ( x - 3 ) ^ { 2 } + 2$ 
D)  $y = ( x + 3 ) ^ { 2 } + 2$ 
A)  $y = x ^ { 2 } - 3$ 
B)  $y = ( x + 2 ) ^ { 2 } - 3$ 
C)  $y = ( x - 3 ) ^ { 2 } + 2$ 
D)  $y = ( x + 3 ) ^ { 2 } + 2$

Question 5

For the points P and Q, find the coordinates of the midpoint of the segment PQ.
-$$\mathrm { P } ( - 5,2 ) , \mathrm { Q } ( 2,6 )$$

Accepted Answer

A)  $\left( - \frac { 7 } { 2 } , - 2 \right)$ 
B)  $( - 3,8 )$ 
C)  $ \left( - \frac { 3 } { 2 } , 4 \right)$ 
D)  $( - 7 , - 4 )$ 
A)  $\left( - \frac { 7 } { 2 } , - 2 \right)$ 
B)  $( - 3,8 )$ 
C)  $ \left( - \frac { 3 } { 2 } , 4 \right)$ 
D)  $( - 7 , - 4 )$

Question 6

Give the domain and range of the relation.
-Find $f ( - x )$ when $f ( x ) = 3 x ^ { 2 } - 2 x + 5$

Accepted Answer

A)  $3 x ^ { 2 } + 2 x + 5$ 
B)  $- 3 x ^ { 2 } + 2 x - 5$ 
C)  $- 3 x ^ { 2 } + 2 x + 5$ 
D)  $3 x ^ { 2 } + 2 x - 5$ 
A)  $3 x ^ { 2 } + 2 x + 5$ 
B)  $- 3 x ^ { 2 } + 2 x - 5$ 
C)  $- 3 x ^ { 2 } + 2 x + 5$ 
D)  $3 x ^ { 2 } + 2 x - 5$

Question 7

Find the requested value.
-$f(x)=\left\{\begin{array}{ll}
5 x+8, & \text { if } x<0 \
3 x^{2}-5 & \text { if } x \geq 0
\end{array}\right.$

Accepted Answer

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

Question 8

Determine the largest open intervals of the domain over which the function is increasing, decreasing, and constant.
-

Accepted Answer

A)  Increasing $( 1 , \infty )$; Decreasing $( - \infty , 1 )$ 
B)  Increasing $( - \infty , - 1 )$; Decreasing $( - 1 , \infty )$ 
C)  Increasing $( - \infty , 1 )$; Decreasing $( 1 , \infty )$ 
D)  Increasing $( - 1 , \infty )$; Decreasing $( - \infty , - 1 )$ 
A)  Increasing $( 1 , \infty )$; Decreasing $( - \infty , 1 )$ 
B)  Increasing $( - \infty , - 1 )$; Decreasing $( - 1 , \infty )$ 
C)  Increasing $( - \infty , 1 )$; Decreasing $( 1 , \infty )$ 
D)  Increasing $( - 1 , \infty )$; Decreasing $( - \infty , - 1 )$

Question 9

Use the graph to determine the equation of the circle in center-radius form.
-

Accepted Answer

A)  $( x - 2 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 4$ 
B)  $( x + 2 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 16$ 
C)  $\left( x + 2 ^ { 2 } + ( y + 4 ) ^ { 2 } = 4 \right.$ 
D)  $( x - 2 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 16$ 
A)  $( x - 2 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 4$ 
B)  $( x + 2 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 16$ 
C)  $\left( x + 2 ^ { 2 } + ( y + 4 ) ^ { 2 } = 4 \right.$ 
D)  $( x - 2 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 16$

Question 10

The graph of a linear function f is shown. Identify the slope, y-intercept, and x-intercept.
-

Accepted Answer

A)  $\frac { 1 } { 2 } ; ( 0 , - 4 ) , ( 2,0 )$ 
B)  $\frac { 1 } { 2 } ; ( 0,2 ) , ( - 4,0 )$ 
C)  $2 ; ( 0,2 ) , ( - 4,0 )$ 
D)  $2 ; ( 0 , - 4 ) , ( 2,0 )$ 
A)  $\frac { 1 } { 2 } ; ( 0 , - 4 ) , ( 2,0 )$ 
B)  $\frac { 1 } { 2 } ; ( 0,2 ) , ( - 4,0 )$ 
C)  $2 ; ( 0,2 ) , ( - 4,0 )$ 
D)  $2 ; ( 0 , - 4 ) , ( 2,0 )$

Question 11

Graph the equation by determining the missing values needed to plot the ordered pairs.
-$$4 x + 6 y = 24 ; ( 0 , \quad ) , ( , 0 ) , ( 2 , \quad )$$

Accepted Answer

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

Question 12

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport.  
-What temperature was recorded at 5 p.m.?

Accepted Answer

A)  $74 ^ { \circ } \mathrm { F }$ 
B)  $76 ^ { \circ } \mathrm { F }$ 
C)  $78 ^ { \circ } \mathrm { F }$ 
D)  $77 ^ { \circ } \mathrm { F }$ 
A)  $74 ^ { \circ } \mathrm { F }$ 
B)  $76 ^ { \circ } \mathrm { F }$ 
C)  $78 ^ { \circ } \mathrm { F }$ 
D)  $77 ^ { \circ } \mathrm { F }$

Question 13

Give the domain and range of the relation.
-$$y = \sqrt { 6 x - 4 }$$

Accepted Answer

A)  domain: $\left[ \frac { 2 } { 3 } , \infty \right)$; range: $( \infty , \infty )$ 
B)  domain: $\left( \frac { 2 } { 3 } , \infty \right)$; range: $[ 0 , \infty )$ 
C)  domain: $\left[ \frac { 2 } { 3 } , \infty \right) ;$ range: $[ 0 , \infty )$ 
D)  domain: $( \infty , \infty )$; range: $\left[ \frac { 2 } { 3 } , \infty \right]$ 
A)  domain: $\left[ \frac { 2 } { 3 } , \infty \right)$; range: $( \infty , \infty )$ 
B)  domain: $\left( \frac { 2 } { 3 } , \infty \right)$; range: $[ 0 , \infty )$ 
C)  domain: $\left[ \frac { 2 } { 3 } , \infty \right) ;$ range: $[ 0 , \infty )$ 
D)  domain: $( \infty , \infty )$; range: $\left[ \frac { 2 } { 3 } , \infty \right]$

Question 14

The graph shows an idealized linear relationship for the average monthly payment to retirees from 1995 to 1999. Use the midpoint formula to estimate the average payment in 1997.
Average Monthly Payment to Retirees  
$$\begin{array} { c c c } 
1995 & 1997 & 1999 \
a = \$ 452 ; b = \$ 524 & &
\end{array}$$

Accepted Answer

A)  $36 
B)  $524 
C)  $488 
D)  $500 
A)  $36 
B)  $524 
C)  $488 
D)  $500

Question 15

Find the slope of the line and sketch the graph.
-$y=3 x-1$

Accepted Answer

A)  $m = \frac { 1 } { 3 }$
  
B)  $m = - 1$
  
C)  $m = 3$
  
D)  $m = - 3$
  
A)  $m = \frac { 1 } { 3 }$
  
B)  $m = - 1$
  
C)  $m = 3$
  
D)  $m = - 3$

Question 16

Give a rule for the piecewise-defined function. Then give the domain and range.
-

Accepted Answer

A) $f ( x ) = \left\{ \begin{array} { l l } 2 & \text { if } x \leq - 3 \ 4 & \text { if } x > 4 \end{array} \right.$; Domain: $[ 2,4 \}$, Range: $( * - 3 ] \cup ( 4 , \infty )$ B) $f ( x ) = \left\{ \begin{array} { l l } 2 & \text { if } x 4 \end{array} ; \right.$ Domain: $( \infty - 3 ] \cup ( 4 , \infty )$, Range: $\{ 2,4 \}$ D) $f ( x ) = \left\{ \begin{array} { l l } 2 & \text { if } x < - 3 \ 4 & \text { if } x \geq 4 \end{array} \right.$; Domain: $( \infty - 3 ) \cup [ 4 , \infty )$, Range: $\{ 2,4 \}$ A) $f ( x ) = \left\{ \begin{array} { l l } 2 & \text { if } x \leq - 3 \ 4 & \text { if } x > 4 \end{array} \right.$; Domain: $[ 2,4 \}$, Range: $( * - 3 ] \cup ( 4 , \infty )$ B) $f ( x ) = \left\{ \begin{array} { l l } 2 & \text { if } x 4 \end{array} ; \right.$ Domain: $( \infty - 3 ] \cup ( 4 , \infty )$, Range: $\{ 2,4 \}$ D) $f ( x ) = \left\{ \begin{array} { l l } 2 & \text { if } x < - 3 \ 4 & \text { if } x \geq 4 \end{array} \right.$; Domain: $( \infty - 3 ) \cup [ 4 , \infty )$, Range: $\{ 2,4 \}$

Question 17

Use a graphing calculator to solve the linear equation.
-The graph of $y _ { 1 }$ is shown in the standard viewing window. Which is the only choice that could possibly be the solution of the equation $y _ { 1 } = 0$ ?

$$- 30 , - \frac { 31 } { 6 } , \frac { 31 } { 6 } , 30$$

Accepted Answer

A)  $\frac { 31 } { 6 }$ 
B)  30 
C)  $- 30$ 
D)  $- \frac { 31 } { 6 }$ 
A)  $\frac { 31 } { 6 }$ 
B)  30 
C)  $- 30$ 
D)  $- \frac { 31 } { 6 }$

Question 18

Decide whether the relation defines a function.
-

Accepted Answer

A)  Not a function 
B)  Function 
A)  Not a function 
B)  Function

Question 19

Graph the equation by determining the missing values needed to plot the ordered pairs.
-$$5 y = - 2 x + 10 ; ( 0 , \quad ) , ( , 0 ) , ( 1 , \quad )$$

Accepted Answer

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

Question 20

Give the domain and range of the relation.
-

Accepted Answer

A)  domain: $( - \infty , \infty )$; range: $[ 4 , \infty )$ 
B)  domain: $( - \infty , 0 ) \cup ( 0 , \infty )$; range: $( - \infty , 0 ) \cup ( 0 , \infty )$ 
C)  domain: $( 0 , \infty )$; range: $[ 0 , \infty )$ 
D)  domain: $( - \infty , 0 )$; range: $( - \infty , 0 )$ 
A)  domain: $( - \infty , \infty )$; range: $[ 4 , \infty )$ 
B)  domain: $( - \infty , 0 ) \cup ( 0 , \infty )$; range: $( - \infty , 0 ) \cup ( 0 , \infty )$ 
C)  domain: $( 0 , \infty )$; range: $[ 0 , \infty )$ 
D)  domain: $( - \infty , 0 )$; range: $( - \infty , 0 )$

Write an equation for the line described. Give your answer in slope-intercept form. - $\mathrm { m } = - 4 , \mathrm {~b} = 8$

Graph the line described. -through $( - 3 , - 10 ) ; \mathrm { m } = 5$ $Graph the line described. -through ( - 3 , - 10 ) ; \mathrm { m } = 5$

Decide whether the relation defines a function. - $y = x ^ { 6 }$

Select the equation that describes the graph shown.

For the points P and Q, find the coordinates of the midpoint of the segment PQ. - $\mathrm { P } ( - 5,2 ) , \mathrm { Q } ( 2,6 )$

Give the domain and range of the relation. -Find $f ( - x )$ when $f ( x ) = 3 x ^ { 2 } - 2 x + 5$

Find the requested value. - $f(x)=\left\{\begin{array}{ll}5 x+8, & \text { if } x<0 \\3 x^{2}-5 & \text { if } x \geq 0\end{array}\right.$ $Find the requested value. - f(x)=\left\{\begin{array}{ll} 5 x+8, & \text { if } x<0 \\ 3 x^{2}-5 & \text { if } x \geq 0 \end{array}\right.$

Determine the largest open intervals of the domain over which the function is increasing, decreasing, and constant. -

Use the graph to determine the equation of the circle in center-radius form. -

The graph of a linear function f is shown. Identify the slope, y-intercept, and x-intercept. -

Graph the equation by determining the missing values needed to plot the ordered pairs. - $4 x + 6 y = 24 ; ( 0 , \quad ) , ( , 0 ) , ( 2 , \quad )$ $Graph the equation by determining the missing values needed to plot the ordered pairs. - 4 x + 6 y = 24 ; ( 0 , \quad ) , ( , 0 ) , ( 2 , \quad )$

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. -What temperature was recorded at 5 p.m.?

Give the domain and range of the relation. - $y = \sqrt { 6 x - 4 }$

Find the slope of the line and sketch the graph. - $y=3 x-1$

Give a rule for the piecewise-defined function. Then give the domain and range. -

Decide whether the relation defines a function. -

Graph the equation by determining the missing values needed to plot the ordered pairs. - $5 y = - 2 x + 10 ; ( 0 , \quad ) , ( , 0 ) , ( 1 , \quad )$ $Graph the equation by determining the missing values needed to plot the ordered pairs. - 5 y = - 2 x + 10 ; ( 0 , \quad ) , ( , 0 ) , ( 1 , \quad )$

Give the domain and range of the relation. -

Review of Basic Concepts

Equations and Inequalities

Polynomials and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Systems and Matrices

Arithmetic Sequence: Common Difference and First n Terms

Filters

Exam 3: Graphs and Functions

Write an equation for the line described. Give your answer in slope-intercept form. - m=−4, b=8\mathrm { m } = - 4 , \mathrm {~b} = 8m=−4, b=8

Graph the line described. -through (−3,−10);m=5( - 3 , - 10 ) ; \mathrm { m } = 5(−3,−10);m=5

Decide whether the relation defines a function. - y=x6y = x ^ { 6 }y=x6

Select the equation that describes the graph shown.

For the points P and Q, find the coordinates of the midpoint of the segment PQ. - P(−5,2),Q(2,6)\mathrm { P } ( - 5,2 ) , \mathrm { Q } ( 2,6 )P(−5,2),Q(2,6)

Give the domain and range of the relation. -Find f(−x)f ( - x )f(−x) when f(x)=3x2−2x+5f ( x ) = 3 x ^ { 2 } - 2 x + 5f(x)=3x2−2x+5

Find the requested value. - f(x)={5x+8, if x<03x2−5 if x≥0f(x)=\left\{\begin{array}{ll}5 x+8, & \text { if } x<0 \\3 x^{2}-5 & \text { if } x \geq 0\end{array}\right.f(x)={5x+8,3x2−5​ if x<0 if x≥0​

Determine the largest open intervals of the domain over which the function is increasing, decreasing, and constant. -

Use the graph to determine the equation of the circle in center-radius form. -

The graph of a linear function f is shown. Identify the slope, y-intercept, and x-intercept. -

Graph the equation by determining the missing values needed to plot the ordered pairs. - 4x+6y=24;(0,),(,0),(2,)4 x + 6 y = 24 ; ( 0 , \quad ) , ( , 0 ) , ( 2 , \quad )4x+6y=24;(0,),(,0),(2,)

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. -What temperature was recorded at 5 p.m.?

Give the domain and range of the relation. - y=6x−4y = \sqrt { 6 x - 4 }y=6x−4​

The graph shows an idealized linear relationship for the average monthly payment to retirees from 1995 to 1999. Use the midpoint formula to estimate the average payment in 1997. Average Monthly Payment to Retirees 1995 1997 1999 a=\ 452;b=\ 524

Find the slope of the line and sketch the graph. - y=3x−1y=3 x-1y=3x−1

Give a rule for the piecewise-defined function. Then give the domain and range. -

Decide whether the relation defines a function. -

Graph the equation by determining the missing values needed to plot the ordered pairs. - 5y=−2x+10;(0,),(,0),(1,)5 y = - 2 x + 10 ; ( 0 , \quad ) , ( , 0 ) , ( 1 , \quad )5y=−2x+10;(0,),(,0),(1,)

Give the domain and range of the relation. -

Review of Basic Concepts

Equations and Inequalities

Polynomials and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Systems and Matrices

Arithmetic Sequence: Common Difference and First n Terms

Filters

Write an equation for the line described. Give your answer in slope-intercept form. - $\mathrm { m } = - 4 , \mathrm {~b} = 8$

Graph the line described. -through $( - 3 , - 10 ) ; \mathrm { m } = 5$ $Graph the line described. -through ( - 3 , - 10 ) ; \mathrm { m } = 5$

Decide whether the relation defines a function. - $y = x ^ { 6 }$

For the points P and Q, find the coordinates of the midpoint of the segment PQ. - $\mathrm { P } ( - 5,2 ) , \mathrm { Q } ( 2,6 )$

Give the domain and range of the relation. -Find $f ( - x )$ when $f ( x ) = 3 x ^ { 2 } - 2 x + 5$

Find the requested value. - $f(x)=\left\{\begin{array}{ll}5 x+8, & \text { if } x<0 \\3 x^{2}-5 & \text { if } x \geq 0\end{array}\right.$ $Find the requested value. - f(x)=\left\{\begin{array}{ll} 5 x+8, & \text { if } x<0 \\ 3 x^{2}-5 & \text { if } x \geq 0 \end{array}\right.$

Graph the equation by determining the missing values needed to plot the ordered pairs. - $4 x + 6 y = 24 ; ( 0 , \quad ) , ( , 0 ) , ( 2 , \quad )$ $Graph the equation by determining the missing values needed to plot the ordered pairs. - 4 x + 6 y = 24 ; ( 0 , \quad ) , ( , 0 ) , ( 2 , \quad )$

Give the domain and range of the relation. - $y = \sqrt { 6 x - 4 }$

Find the slope of the line and sketch the graph. - $y=3 x-1$

Graph the equation by determining the missing values needed to plot the ordered pairs. - $5 y = - 2 x + 10 ; ( 0 , \quad ) , ( , 0 ) , ( 1 , \quad )$ $Graph the equation by determining the missing values needed to plot the ordered pairs. - 5 y = - 2 x + 10 ; ( 0 , \quad ) , ( , 0 ) , ( 1 , \quad )$