Question 1

Write an equation for the line described. Give your answer in slope-intercept form.
-horizontal, through $( 1 , - 1 )$

Accepted Answer

A)  $x = - 1$ 
B)  $x = 1$ 
C)  $y = 1$ 
D)  $y = - 1$ 
A)  $x = - 1$ 
B)  $x = 1$ 
C)  $y = 1$ 
D)  $y = - 1$

Question 2

Find the average rate of change illustrated in the graph.
- 
 Time (in seconds)

Accepted Answer

A)  $0.75 \mathrm {~mm}$ per second 
B)  $1 \mathrm {~mm}$ per second 
C)  $1.3 \mathrm {~mm}$ per second 
D)  $0.85 \mathrm {~mm}$ per second 
A)  $0.75 \mathrm {~mm}$ per second 
B)  $1 \mathrm {~mm}$ per second 
C)  $1.3 \mathrm {~mm}$ per second 
D)  $0.85 \mathrm {~mm}$ per second

Question 3

Write an equation for the line described. Give your answer in slope-intercept form.
-through (-3, 1), m = 0

Accepted Answer

A)  y = -3 
B)  y = 1 
C)  x = -3 
D)  x = 1 
A)  y = -3 
B)  y = 1 
C)  x = -3 
D)  x = 1

Question 4

For the points P and Q, find the distance d(P, Q).
-$$P ( 5 , - 5 ) , Q ( 7 , - 1 )$$

Accepted Answer

A)  $12 \sqrt { 3 }$ 
B)  12 
C)  2 
D)  $2 \sqrt { 5 }$ 
A)  $12 \sqrt { 3 }$ 
B)  12 
C)  2 
D)  $2 \sqrt { 5 }$

Question 5

Decide whether the relation defines a function.
-{(-4, 1), (-3, -6), (3, -3), (3, 2)}

Accepted Answer

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

Question 6

Determine whether the three points are collinear.
-(9, -5), (-5, 8), (3, -1)

Accepted Answer

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

Question 7

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

Accepted Answer

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

Question 8

Give the domain and range of the relation.
-

Accepted Answer

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

Question 9

Graph the function.
-$y=x^{2}+1$

Accepted Answer

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

Question 10

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

Accepted Answer

A)  $\left( x + 1 ^ { 2 } + ( y + 4 ) ^ { 2 } = 2 \right.$ 
B)  $( x - 1 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 4$ 
C)  $( x + 1 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 4$ 
D)  $( x - 1 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 2$ 
A)  $\left( x + 1 ^ { 2 } + ( y + 4 ) ^ { 2 } = 2 \right.$ 
B)  $( x - 1 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 4$ 
C)  $( x + 1 ) ^ { 2 } + ( y + 4 ) ^ { 2 } = 4$ 
D)  $( x - 1 ) ^ { 2 } + ( y - 4 ) ^ { 2 } = 2$

Question 11

Graph the function.
-$y=(x-3)^{2}-3$

Accepted Answer

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

Question 12

Find the average rate of change illustrated in the graph.
-The rate of return of certain investments increases as the risk factor of the investment increases. An investment with a risk factor of 2 has a rate of return of 5.0%. An investment with a risk factor of 20
Has a rate of return of 12.0%. What is the average rate of change in return per unit of risk? Round to
Two decimal places.

Accepted Answer

A)  0.39% per unit risk 
B)  2.57% per unit risk 
C)  0.67% per unit risk 
D)  1.50% per unit risk 
A)  0.39% per unit risk 
B)  2.57% per unit risk 
C)  0.67% per unit risk 
D)  1.50% per unit risk

Question 13

Graph the function.
-$f(x)=(3 x)^{2}$

Accepted Answer

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

Question 14

Find the specified domain.
-Use the tables to find (f $+ \mathrm { g } ) ( - 2 )$
$\begin{array}{l}
\begin{array}{r|c|c|c}
x & -2 & 4 & 7 \
\hline f(x) & -1 & -6 & -4
\end{array}\
\begin{array}{r|l|l|l}
\mathrm{x} & -2 & 5 & 7 \
\hline g(x) & 1 & -1 & 5
\end{array}
\end{array}$

Accepted Answer

A)  14 
B)  1 
C)  0 
D)  $- 7$ 
A)  14 
B)  1 
C)  0 
D)  $- 7$

Question 15

Write all linear equations in slope-intercept form.
-With 20.5% commitment, a company can clean up 35% of an acid rain forest. With 23.5% commitment, it can clean up 62% of an acid rain forest. Find a linear equation that models the
Percent cleanup for x percent commitment.

Accepted Answer

A)  y = x + 27 
B)  y = 9x - 149.5 
C)  y = 9x + 149.5 
D)  y = 3x + 27 
A)  y = x + 27 
B)  y = 9x - 149.5 
C)  y = 9x + 149.5 
D)  y = 3x + 27

Question 16

Graph the function.
-In Country X, the average hourly wage in dollars from 1960 to 2010 can be modeled by $$f ( x ) = \left\{ \begin{array} { l l } 
0.074 ( x - 1960 ) + 0.33 & \text { if } 1960 \leq x < 1995 \
0.181 ( x - 1995 ) + 3.03 & \text { if } 1995 \leq x \leq 2010
\end{array} \right.$$
Use $f$ to estimate the average hourly wages in 1965, 1985, and 2005.

Accepted Answer

A)  $\$ 0.70 , \$ 2.18 , \$ 6.65$ 
B)  $\$ 3.40 , \$ 0.33 , \$ 6.65$ 
C)  $\$ 0.70 , \$ 3.03 , \$ 6.65$ 
A)  $\$ 0.70 , \$ 2.18 , \$ 6.65$ 
B)  $\$ 3.40 , \$ 0.33 , \$ 6.65$ 
C)  $\$ 0.70 , \$ 3.03 , \$ 6.65$

Question 17

Decide whether the relation defines a function.
-{(-8, 2), (-8, 8), (1, -9), (6, 3), (7, 5)}

Accepted Answer

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

Question 18

Graph the point symmetric to the given point.
-$$\text { Plot the point } ( 7,0 ) \text {, then plot the point that is symmetric to } ( 7,0 ) \text { with respect to the y-axis. }$$

Accepted Answer

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

Question 19

Write an equation for the line described. Write the equation in the form specified.
-perpendicular to x = -2, through (4, 5)

Accepted Answer

A)  y = 5 
B)  y = 4 
C)  x = 4 
D)  x = 5 
A)  y = 5 
B)  y = 4 
C)  x = 4 
D)  x = 5

Question 20

Graph the equation by determining the missing values needed to plot the ordered pairs.
-$$y - x = 1 ; ( 3 , \quad ) , ( \quad , 8 ) , ( 4 , \quad )$$

Accepted Answer

A) 
  
B) 
  
C)

D) 
  
A) 
  
B) 
  
C)

D)

Write an equation for the line described. Give your answer in slope-intercept form. -horizontal, through $( 1 , - 1 )$

Find the average rate of change illustrated in the graph. - Time (in seconds)

Write an equation for the line described. Give your answer in slope-intercept form. -through (-3, 1), m = 0

For the points P and Q, find the distance d(P, Q). - $P ( 5 , - 5 ) , Q ( 7 , - 1 )$

Decide whether the relation defines a function. -{(-4, 1), (-3, -6), (3, -3), (3, 2)}

Determine whether the three points are collinear. -(9, -5), (-5, 8), (3, -1)

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

Give the domain and range of the relation. -

Graph the function. - $y=x^{2}+1$ $Graph the function. - y=x^{2}+1$

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

Graph the function. - $y=(x-3)^{2}-3$ $Graph the function. - y=(x-3)^{2}-3$

Graph the function. - $f(x)=(3 x)^{2}$ $Graph the function. - f(x)=(3 x)^{2}$

Find the specified domain. -Use the tables to find (f $+ \mathrm { g } ) ( - 2 )$ x -2 4 7 f(x) -1 -6 -4 -2 5 7 g(x) 1 -1 5

Write all linear equations in slope-intercept form. -With 20.5% commitment, a company can clean up 35% of an acid rain forest. With 23.5% commitment, it can clean up 62% of an acid rain forest. Find a linear equation that models the Percent cleanup for x percent commitment.

Decide whether the relation defines a function. -{(-8, 2), (-8, 8), (1, -9), (6, 3), (7, 5)}

Write an equation for the line described. Write the equation in the form specified. -perpendicular to x = -2, through (4, 5)

Graph the equation by determining the missing values needed to plot the ordered pairs. - $y - x = 1 ; ( 3 , \quad ) , ( \quad , 8 ) , ( 4 , \quad )$ $Graph the equation by determining the missing values needed to plot the ordered pairs. - y - x = 1 ; ( 3 , \quad ) , ( \quad , 8 ) , ( 4 , \quad )$

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

Write an equation for the line described. Give your answer in slope-intercept form. -horizontal, through (1,−1)( 1 , - 1 )(1,−1)

Find the average rate of change illustrated in the graph. - Time (in seconds)

Write an equation for the line described. Give your answer in slope-intercept form. -through (-3, 1), m = 0

For the points P and Q, find the distance d(P, Q). - P(5,−5),Q(7,−1)P ( 5 , - 5 ) , Q ( 7 , - 1 )P(5,−5),Q(7,−1)

Decide whether the relation defines a function. -{(-4, 1), (-3, -6), (3, -3), (3, 2)}

Determine whether the three points are collinear. -(9, -5), (-5, 8), (3, -1)

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

Give the domain and range of the relation. -

Graph the function. - y=x2+1y=x^{2}+1y=x2+1

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

Graph the function. - y=(x−3)2−3y=(x-3)^{2}-3y=(x−3)2−3

Graph the function. - f(x)=(3x)2f(x)=(3 x)^{2}f(x)=(3x)2

Find the specified domain. -Use the tables to find (f +g)(−2)+ \mathrm { g } ) ( - 2 )+g)(−2) x -2 4 7 f(x) -1 -6 -4 -2 5 7 g(x) 1 -1 5

Write all linear equations in slope-intercept form. -With 20.5% commitment, a company can clean up 35% of an acid rain forest. With 23.5% commitment, it can clean up 62% of an acid rain forest. Find a linear equation that models the Percent cleanup for x percent commitment.

Decide whether the relation defines a function. -{(-8, 2), (-8, 8), (1, -9), (6, 3), (7, 5)}

Write an equation for the line described. Write the equation in the form specified. -perpendicular to x = -2, through (4, 5)

Graph the equation by determining the missing values needed to plot the ordered pairs. - y−x=1;(3,),(,8),(4,)y - x = 1 ; ( 3 , \quad ) , ( \quad , 8 ) , ( 4 , \quad )y−x=1;(3,),(,8),(4,)

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

Write an equation for the line described. Give your answer in slope-intercept form. -horizontal, through $( 1 , - 1 )$

For the points P and Q, find the distance d(P, Q). - $P ( 5 , - 5 ) , Q ( 7 , - 1 )$

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

Graph the function. - $y=x^{2}+1$ $Graph the function. - y=x^{2}+1$

Graph the function. - $y=(x-3)^{2}-3$ $Graph the function. - y=(x-3)^{2}-3$

Graph the function. - $f(x)=(3 x)^{2}$ $Graph the function. - f(x)=(3 x)^{2}$

Find the specified domain. -Use the tables to find (f $+ \mathrm { g } ) ( - 2 )$ x -2 4 7 f(x) -1 -6 -4 -2 5 7 g(x) 1 -1 5

Graph the equation by determining the missing values needed to plot the ordered pairs. - $y - x = 1 ; ( 3 , \quad ) , ( \quad , 8 ) , ( 4 , \quad )$ $Graph the equation by determining the missing values needed to plot the ordered pairs. - y - x = 1 ; ( 3 , \quad ) , ( \quad , 8 ) , ( 4 , \quad )$