Question 1

Find the center-radius form of the circle described or graphed.
-Find the center-radius form of the equation of a circle with center $( 5,7 )$ and tangent to the $x$-axis.

Accepted Answer

A)  $( x - 5 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 49$ 
B)  $( x + 5 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 25$ 
C)  $( x + 5 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 49$ 
D)  $( x - 5 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 25$ 
A)  $( x - 5 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 49$ 
B)  $( x + 5 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 25$ 
C)  $( x + 5 ) ^ { 2 } + ( y + 7 ) ^ { 2 } = 49$ 
D)  $( x - 5 ) ^ { 2 } + ( y - 7 ) ^ { 2 } = 25$

Question 2

Write an equation for the line described. Give your answer in standard form.
-through $( 3,2 )$, undefined slope

Accepted Answer

A)  $y = 2$ 
B)  $x = 3$ 
C)  $x = 2$ 
D)  $y = 3$ 
A)  $y = 2$ 
B)  $x = 3$ 
C)  $x = 2$ 
D)  $y = 3$

Question 3

Find the center and radius of the circle.
-$$x ^ { 2 } + y ^ { 2 } + 10 x - 8 y - 8 = 0$$

Accepted Answer

A)  center: $( - 5,4 )$; radius: 7 
B)  center: $( 4 , - 5 )$; radius: 7 
C)  center: $( - 4,5 )$; radius: 49 
D)  center: $( 5 , - 4 )$; radius: 49 
A)  center: $( - 5,4 )$; radius: 7 
B)  center: $( 4 , - 5 )$; radius: 7 
C)  center: $( - 4,5 )$; radius: 49 
D)  center: $( 5 , - 4 )$; radius: 49

Question 4

Determine whether the three points are collinear.
-$$( 16 , - 1 ) , ( 7,5 ) , ( 25 , - 7 )$$

Accepted Answer

A)  Yes 
B)  No 
A)  Yes 
B)  No

Question 5

Give the domain and range of the relation.
-

Accepted Answer

A)  domain: $( 2 , \infty )$; range: $( 6 , \infty )$ 
B)  domain: $[ 2 , \infty )$; range: $( - \infty , \infty )$ 
C)  domain: $( - \infty , \infty )$; range: $( - \infty , \infty )$ 
D)  domain: $( - \infty , \infty )$; range: $[ 2 , \infty )$ 
A)  domain: $( 2 , \infty )$; range: $( 6 , \infty )$ 
B)  domain: $[ 2 , \infty )$; range: $( - \infty , \infty )$ 
C)  domain: $( - \infty , \infty )$; range: $( - \infty , \infty )$ 
D)  domain: $( - \infty , \infty )$; range: $[ 2 , \infty )$

Question 6

Give the domain and range of the relation.
-Annual New Telemarketing Companies
$\begin{array}{c|c}
\text { Year } & \text { Number } \
\hline 1993 & 52 \
1994 & 102 \
1995 & 187 \
1996 & 170 \
1997 & 218
\end{array}$

Accepted Answer

A)  domain: { Year}; range: {Number} 
B)  None of these 
C)  domain: $\{ 1993,1994,1995,1996,1997 \}$; range: $\{ 52,102,170,187,218 \}$ 
D)  domain: $\{ 52,102,170,187,218 \}$; range: $\{ 1993,1994,1995,1996,1997 \}$ 
A)  domain: { Year}; range: {Number} 
B)  None of these 
C)  domain: $\{ 1993,1994,1995,1996,1997 \}$; range: $\{ 52,102,170,187,218 \}$ 
D)  domain: $\{ 52,102,170,187,218 \}$; range: $\{ 1993,1994,1995,1996,1997 \}$

Question 7

Graph the function.
-$$y = - \frac { 1 } { 2 } ( x + 4 ) ^ { 4 } + 2$$

Accepted Answer

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

Question 8

Match the equation with the correct graph.
-$$7 x + 4 y = - 12$$

Accepted Answer

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

Question 9

Decide whether the relation defines a function.
-

Accepted Answer

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

Question 10

Graph the point symmetric to the given point.
-Plot the point $ (9,-6) $, then plot the point that is symmetric to $ (9,-6) $ with respect to the origin.

Accepted Answer

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

Question 11

Give the domain and range of the relation.
-

Accepted Answer

A)  domain: $\{ 4,7,12 \}$; range: $\{ 5,8,13 \}$ 
B)  None of these 
C)  domain: $\{ 4,5,7 \}$; range: $\{ 8,12,13 \}$ 
D)  domain: $\{ 5,8,13 \} ;$ range: $\{ 4,7,12 \}$ 
A)  domain: $\{ 4,7,12 \}$; range: $\{ 5,8,13 \}$ 
B)  None of these 
C)  domain: $\{ 4,5,7 \}$; range: $\{ 8,12,13 \}$ 
D)  domain: $\{ 5,8,13 \} ;$ range: $\{ 4,7,12 \}$

Question 12

The graph of a linear function f is shown. Write the equation that defines f. Write the equation in slope-intercept form.
-

Accepted Answer

A)  $y = - x - 6$ 
B)  $y = x - 6$ 
C)  $y = x + 6$ 
D)  $y = - x + 6$ 
A)  $y = - x - 6$ 
B)  $y = x - 6$ 
C)  $y = x + 6$ 
D)  $y = - x + 6$

Question 13

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$
-Select the equation that describes the graph shown.

Accepted Answer

A)  $y = \sqrt { x + 4 } + 3$ 
B)  $y = \sqrt { x + 4 }$ 
C)  $y = \sqrt { x - 4 }$ 
D)  $y = \sqrt { x } + 4$ 
A)  $y = \sqrt { x + 4 } + 3$ 
B)  $y = \sqrt { x + 4 }$ 
C)  $y = \sqrt { x - 4 }$ 
D)  $y = \sqrt { x } + 4$

Question 14

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$
-Select the equation that describes the graph shown.

Accepted Answer

A)  $y = - 2 x ^ { 2 }$ 
B)  $y = 2 x ^ { 2 }$ 
C)  $y = - \frac { 1 } { 2 } x ^ { 2 }$ 
D)  $y = - x ^ { 2 }$ 
A)  $y = - 2 x ^ { 2 }$ 
B)  $y = 2 x ^ { 2 }$ 
C)  $y = - \frac { 1 } { 2 } x ^ { 2 }$ 
D)  $y = - x ^ { 2 }$

Question 15

Rewrite the equation so that one side is 0, then replace 0 with y. The graph of the equation for y is shown.
Use a graphing calculator to solve the linear equation.
-$$( 5 x - 4 ) - 1 = 6 ( x + 8 )$$

Accepted Answer

A)  $\{ - 53 \}$ 
B)  $\{ 53 \}$ 
C)  $\{ 13 \}$ 
D)  $\{ 51 \}$ 
A)  $\{ - 53 \}$ 
B)  $\{ 53 \}$ 
C)  $\{ 13 \}$ 
D)  $\{ 51 \}$

Question 16

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport.  
-At what times was the temperature below 77°F?

Accepted Answer

A)  from 9 a.m. until 11 a.m. and from 3 p.m. until 6 p.m. 
B)  from 12 p.m. until 3 p.m 
C)  from 9 a.m. until 12 p.m. and from 3 p.m. until 6 p.m. 
D)  after 3 p.m. 
A)  from 9 a.m. until 11 a.m. and from 3 p.m. until 6 p.m. 
B)  from 12 p.m. until 3 p.m 
C)  from 9 a.m. until 12 p.m. and from 3 p.m. until 6 p.m. 
D)  after 3 p.m.

Question 17

Rewrite the equation so that one side is 0, then replace 0 with y. The graph of the equation for y is shown.
Use a graphing calculator to solve the linear equation.
-$$- 8 x + 7 ( 3 x - 4 ) = - 9 - 6 x$$

Accepted Answer

A)  $\{ 0 \}$ 
B)  $\{ 1 \}$ 
C)  $\{ - 1 \}$ 
D)  $\{ 2 \}$ 
A)  $\{ 0 \}$ 
B)  $\{ 1 \}$ 
C)  $\{ - 1 \}$ 
D)  $\{ 2 \}$

Question 18

Determine the intervals of the domain over which the function is continuous.
-

Accepted Answer

A)  $( - \infty , \infty )$ 
B)  $[ 2 , \infty )$ 
C)  $( - \infty , 3 ) \cup ( 3 , \infty )$ 
D)  $[ 3 , \infty )$ 
A)  $( - \infty , \infty )$ 
B)  $[ 2 , \infty )$ 
C)  $( - \infty , 3 ) \cup ( 3 , \infty )$ 
D)  $[ 3 , \infty )$

Question 19

The figure below shows the graph of a function y = f(x). Use this graph to
-$$\text { Sketch the graph of } y = - \frac { 1 } { 2 } f ( x )$$

Accepted Answer

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

Question 20

Decide whether the relation defines a function.
-$$\begin{array}{l}
\text { Student Test Score }\
\begin{array} { r | r } 
\text { Name } & \text { Test Score } \
\hline \text { Bob L. } & 79 \
\hline \text { Susan H. } & 83 \
\hline \text { Jim H. } & 79 \
\hline \text { Bruce B. } & 96
\end{array}
\end{array}$$

Accepted Answer

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

Find the center-radius form of the circle described or graphed. -Find the center-radius form of the equation of a circle with center $( 5,7 )$ and tangent to the $x$ -axis.

Write an equation for the line described. Give your answer in standard form. -through $( 3,2 )$ , undefined slope

Find the center and radius of the circle. - $x ^ { 2 } + y ^ { 2 } + 10 x - 8 y - 8 = 0$

Determine whether the three points are collinear. - $( 16 , - 1 ) , ( 7,5 ) , ( 25 , - 7 )$

Give the domain and range of the relation. -

Give the domain and range of the relation. -Annual New Telemarketing Companies Year Number 1993 52 1994 102 1995 187 1996 170 1997 218

Graph the function. - $y = - \frac { 1 } { 2 } ( x + 4 ) ^ { 4 } + 2$ $Graph the function. - y = - \frac { 1 } { 2 } ( x + 4 ) ^ { 4 } + 2$

Match the equation with the correct graph. - $7 x + 4 y = - 12$

Decide whether the relation defines a function. -

Graph the point symmetric to the given point. -Plot the point $(9,-6)$ , then plot the point that is symmetric to $(9,-6)$ with respect to the origin.

Give the domain and range of the relation. -

The graph of a linear function f is shown. Write the equation that defines f. Write the equation in slope-intercept form. -

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ -Select the equation that describes the graph shown. $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } -Select the equation that describes the graph shown.$

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ -Select the equation that describes the graph shown. $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } -Select the equation that describes the graph shown.$

Rewrite the equation so that one side is 0, then replace 0 with y. The graph of the equation for y is shown. Use a graphing calculator to solve the linear equation. - $( 5 x - 4 ) - 1 = 6 ( x + 8 )$

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. -At what times was the temperature below 77°F?

Rewrite the equation so that one side is 0, then replace 0 with y. The graph of the equation for y is shown. Use a graphing calculator to solve the linear equation. - $- 8 x + 7 ( 3 x - 4 ) = - 9 - 6 x$

Determine the intervals of the domain over which the function is continuous. -

The figure below shows the graph of a function y = f(x). Use this graph to - $\text { Sketch the graph of } y = - \frac { 1 } { 2 } f ( x )$ $The figure below shows the graph of a function y = f(x). Use this graph to - \text { Sketch the graph of } y = - \frac { 1 } { 2 } f ( x )$

Decide whether the relation defines a function. - Student Test Score Name Test Score Bob L. 79 Susan H. 83 Jim H. 79 Bruce B. 96

Review of Basic Concepts

Equations and Inequalities

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

The Circular Functions and Their Graphs

Trigonometric Identities and Equations

Applications of Trigonometry

Systems and Matrices

Analytic Geometry

Further Topics in Algebra

Filters

Exam 3: Graphs and Functions

Find the center-radius form of the circle described or graphed. -Find the center-radius form of the equation of a circle with center (5,7)( 5,7 )(5,7) and tangent to the xxx -axis.

Write an equation for the line described. Give your answer in standard form. -through (3,2)( 3,2 )(3,2) , undefined slope

Find the center and radius of the circle. - x2+y2+10x−8y−8=0x ^ { 2 } + y ^ { 2 } + 10 x - 8 y - 8 = 0x2+y2+10x−8y−8=0

Determine whether the three points are collinear. - (16,−1),(7,5),(25,−7)( 16 , - 1 ) , ( 7,5 ) , ( 25 , - 7 )(16,−1),(7,5),(25,−7)

Give the domain and range of the relation. -

Give the domain and range of the relation. -Annual New Telemarketing Companies Year Number 1993 52 1994 102 1995 187 1996 170 1997 218

Graph the function. - y=−12(x+4)4+2y = - \frac { 1 } { 2 } ( x + 4 ) ^ { 4 } + 2y=−21​(x+4)4+2

Match the equation with the correct graph. - 7x+4y=−127 x + 4 y = - 127x+4y=−12

Decide whether the relation defines a function. -

Graph the point symmetric to the given point. -Plot the point (9,−6) (9,-6) (9,−6) , then plot the point that is symmetric to (9,−6) (9,-6) (9,−6) with respect to the origin.

Give the domain and range of the relation. -

The graph of a linear function f is shown. Write the equation that defines f. Write the equation in slope-intercept form. -

Describe how the graph of the equation relates to the graph of y y=x3y = \sqrt [ 3 ] { x }y=3x​ -Select the equation that describes the graph shown.

Describe how the graph of the equation relates to the graph of y y=x3y = \sqrt [ 3 ] { x }y=3x​ -Select the equation that describes the graph shown.

Rewrite the equation so that one side is 0, then replace 0 with y. The graph of the equation for y is shown. Use a graphing calculator to solve the linear equation. - (5x−4)−1=6(x+8)( 5 x - 4 ) - 1 = 6 ( x + 8 )(5x−4)−1=6(x+8)

The line graph shows the recorded hourly temperatures in degrees Fahrenheit at an airport. -At what times was the temperature below 77°F?

Rewrite the equation so that one side is 0, then replace 0 with y. The graph of the equation for y is shown. Use a graphing calculator to solve the linear equation. - −8x+7(3x−4)=−9−6x- 8 x + 7 ( 3 x - 4 ) = - 9 - 6 x−8x+7(3x−4)=−9−6x

Determine the intervals of the domain over which the function is continuous. -

The figure below shows the graph of a function y = f(x). Use this graph to - Sketch the graph of y=−12f(x)\text { Sketch the graph of } y = - \frac { 1 } { 2 } f ( x ) Sketch the graph of y=−21​f(x)

Decide whether the relation defines a function. - Student Test Score Name Test Score Bob L. 79 Susan H. 83 Jim H. 79 Bruce B. 96

Review of Basic Concepts

Equations and Inequalities

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

The Circular Functions and Their Graphs

Trigonometric Identities and Equations

Applications of Trigonometry

Systems and Matrices

Analytic Geometry

Further Topics in Algebra

Filters

Find the center-radius form of the circle described or graphed. -Find the center-radius form of the equation of a circle with center $( 5,7 )$ and tangent to the $x$ -axis.

Write an equation for the line described. Give your answer in standard form. -through $( 3,2 )$ , undefined slope

Find the center and radius of the circle. - $x ^ { 2 } + y ^ { 2 } + 10 x - 8 y - 8 = 0$

Determine whether the three points are collinear. - $( 16 , - 1 ) , ( 7,5 ) , ( 25 , - 7 )$

Graph the function. - $y = - \frac { 1 } { 2 } ( x + 4 ) ^ { 4 } + 2$ $Graph the function. - y = - \frac { 1 } { 2 } ( x + 4 ) ^ { 4 } + 2$

Match the equation with the correct graph. - $7 x + 4 y = - 12$

Graph the point symmetric to the given point. -Plot the point $(9,-6)$ , then plot the point that is symmetric to $(9,-6)$ with respect to the origin.

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ -Select the equation that describes the graph shown. $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } -Select the equation that describes the graph shown.$

Describe how the graph of the equation relates to the graph of y $y = \sqrt [ 3 ] { x }$ -Select the equation that describes the graph shown. $Describe how the graph of the equation relates to the graph of y y = \sqrt [ 3 ] { x } -Select the equation that describes the graph shown.$

Rewrite the equation so that one side is 0, then replace 0 with y. The graph of the equation for y is shown. Use a graphing calculator to solve the linear equation. - $( 5 x - 4 ) - 1 = 6 ( x + 8 )$

Rewrite the equation so that one side is 0, then replace 0 with y. The graph of the equation for y is shown. Use a graphing calculator to solve the linear equation. - $- 8 x + 7 ( 3 x - 4 ) = - 9 - 6 x$

The figure below shows the graph of a function y = f(x). Use this graph to - $\text { Sketch the graph of } y = - \frac { 1 } { 2 } f ( x )$ $The figure below shows the graph of a function y = f(x). Use this graph to - \text { Sketch the graph of } y = - \frac { 1 } { 2 } f ( x )$