Question 1

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

Accepted Answer

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

Question 2

Graph the equation by determining the missing values needed to plot the ordered pairs.
-$4 y=-2 x+8 ;(0, \quad),(, 0),(1, \quad)$

Accepted Answer

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

Question 3

List the ordered pairs from the table.
-

Accepted Answer

A)  $( 6,0 ) , ( 7,1 ) , ( 9,3 ) , ( 10,4 )$ 
B)  $( 0,10 ) , ( 1,9 ) , ( 3,7 ) , ( 4,6 )$ 
C)  $( 0,7 ) , ( 1,6 ) , ( 3,10 ) , ( 4,9 )$ 
D)  $( 0,6 ) , ( 1,7 ) , ( 3,9 ) , ( 4,10 )$ 
A)  $( 6,0 ) , ( 7,1 ) , ( 9,3 ) , ( 10,4 )$ 
B)  $( 0,10 ) , ( 1,9 ) , ( 3,7 ) , ( 4,6 )$ 
C)  $( 0,7 ) , ( 1,6 ) , ( 3,10 ) , ( 4,9 )$ 
D)  $( 0,6 ) , ( 1,7 ) , ( 3,9 ) , ( 4,10 )$

Question 4

Match the description with the correct symbolic expression.
-a linear function whose graph has a slope of 4

Accepted Answer

A)  $y = 4 x + 6$ 
B)  $x = 4$ 
C)  $f ( x ) = - 5 x + 4$ 
D)  $4 x - 5 y = 6$ 
A)  $y = 4 x + 6$ 
B)  $x = 4$ 
C)  $f ( x ) = - 5 x + 4$ 
D)  $4 x - 5 y = 6$

Question 5

Give the domain and range of the relation.
-

Accepted Answer

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

Question 6

Give the domain and range of the relation.
-$$x = y ^ { 2 }$$

Accepted Answer

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

Question 7

Decide whether the relation defines a function.
-Annual New Telemarketing Companies

Accepted Answer

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

Question 8

Refer to the following graphs to determine an appropriate response.  
-Which is not the graph of a function? What is its equation?

Accepted Answer

A)  graph D; $y = [ [ x ] ]$ 
B)  graph $A ; y = x$ 
C)  graph $B ; x = y ^ { 2 }$ 
D)  graph $C ; y = \sqrt { x }$ 
A)  graph D; $y = [ [ x ] ]$ 
B)  graph $A ; y = x$ 
C)  graph $B ; x = y ^ { 2 }$ 
D)  graph $C ; y = \sqrt { x }$

Question 9

Decide whether the relation defines a function.
-

Accepted Answer

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

Question 10

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

Accepted Answer

A)  $(-\infty, 2) \cup(2, \infty)$ 
B)  $( - \infty , 4 ) \cup ( 4 , \infty )$ 
C)  $( - \infty , \infty )$ 
D)  $[ 0 , \infty ]$ 
A)  $(-\infty, 2) \cup(2, \infty)$ 
B)  $( - \infty , 4 ) \cup ( 4 , \infty )$ 
C)  $( - \infty , \infty )$ 
D)  $[ 0 , \infty ]$

Question 11

Use the graph to solve the problem.
-At what time was the temperature its lowest?

Accepted Answer

A)  6 p.m. 
B)  4 p.m. 
C)  9 a.m. 
D)  1 p.m. 
A)  6 p.m. 
B)  4 p.m. 
C)  9 a.m. 
D)  1 p.m.

Question 12

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint.
-midpoint (a, w), endpoint (m, q)

Accepted Answer

A)  $( \mathrm { a } - \mathrm { m } , \mathrm { w } - \mathrm { q } )$ 
B)  $( 2 \mathrm { a } - \mathrm { m } , 2 \mathrm { w } - \mathrm { q } )$ 
C)  $( 2 m - a , 2 q - w )$ 
D)  $\left( \frac { \mathrm { a } + \mathrm { m } } { 2 } , \frac { \mathrm { w } + \mathrm { q } } { 2 } \right)$ 
A)  $( \mathrm { a } - \mathrm { m } , \mathrm { w } - \mathrm { q } )$ 
B)  $( 2 \mathrm { a } - \mathrm { m } , 2 \mathrm { w } - \mathrm { q } )$ 
C)  $( 2 m - a , 2 q - w )$ 
D)  $\left( \frac { \mathrm { a } + \mathrm { m } } { 2 } , \frac { \mathrm { w } + \mathrm { q } } { 2 } \right)$

Question 13

Give the domain and range of the relation.
- 
.

Accepted Answer

A)  range: $( - \infty , - 3 ) \cup ( - 3,0 ) \cup ( 0,3 ) \cup ( 3 , \infty )$; domain: $( - \infty , - 10 ) \cup ( - 10,0 ) \cup ( 0,10 ) \cup ( 10 , \infty )$ 
B)  range: $( - 3,3 )$; domain: $( - 10,10 )$ 
C)  range: $( - 3,0 ) \cup ( 0,3 )$; domain: $( - 10,0 ) \cup ( 0,10 )$ 
D)  range: $( - \infty , \infty )$; domain: $( - \infty , \infty )$ 
A)  range: $( - \infty , - 3 ) \cup ( - 3,0 ) \cup ( 0,3 ) \cup ( 3 , \infty )$; domain: $( - \infty , - 10 ) \cup ( - 10,0 ) \cup ( 0,10 ) \cup ( 10 , \infty )$ 
B)  range: $( - 3,3 )$; domain: $( - 10,10 )$ 
C)  range: $( - 3,0 ) \cup ( 0,3 )$; domain: $( - 10,0 ) \cup ( 0,10 )$ 
D)  range: $( - \infty , \infty )$; domain: $( - \infty , \infty )$

Question 14

Describe how the graph of the equation relates to the graph of y = x2.
-$$f ( x ) = ( x - 7 ) ^ { 2 }$$

Accepted Answer

A)  a translation 7 units down 
B)  a translation 7 units to the right 
C)  a translation 7 units up 
D)  a translation 7 units to the left 
A)  a translation 7 units down 
B)  a translation 7 units to the right 
C)  a translation 7 units up 
D)  a translation 7 units to the left

Question 15

Match the description with the correct symbolic expression.
-a constant function

Accepted Answer

A)  x = -6 
B)  f(x) = -7 
C) y = -6x + 12 
D)  -6x + 6y = 12 
A)  x = -6 
B)  f(x) = -7 
C) y = -6x + 12 
D)  -6x + 6y = 12

Question 16

Graph the equation by plotting points.
-$y=x^{3}-2$

Accepted Answer

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

Question 17

Solve the problem. Write all linear equations in slope-intercept form.
-A biologist recorded 2 snakes on 14 acres in one area and 20 snakes on 31 acres in another area. Find a linear equation that models the number of snakes in $\mathrm { x }$ acres.

Accepted Answer

A)  $y = \frac { 18 } { 17 } x + \frac { 218 } { 17 }$ 
B)  $y = x + 12$ 
C)  $y = \frac { 18 } { 17 } x - \frac { 218 } { 17 }$ 
D)  $y = \frac { 17 } { 18 } x - \frac { 17 } { 218 }$ 
A)  $y = \frac { 18 } { 17 } x + \frac { 218 } { 17 }$ 
B)  $y = x + 12$ 
C)  $y = \frac { 18 } { 17 } x - \frac { 218 } { 17 }$ 
D)  $y = \frac { 17 } { 18 } x - \frac { 17 } { 218 }$

Question 18

Solve the problem.
-The charges for renting a moving van are $\$ 50$ for the first 20 miles and $\$ 8$ for each additional mile. Assume that a fraction of a mile is rounded up. (i) Determine the cost of driving the van 88 miles.
(ii) Find a symbolic representation for a function $\mathrm { f }$ that computes the cost of driving the van $\mathrm { x }$ miles, where $0 < x \leq 100$. (Hint: express $\mathrm { f }$ as a piecewise-constant function.)

Accepted Answer

A)  $\$ 594 ; f ( x ) = \left\{ \begin{array} { l l } 50 & \text { if } 0 < x \leq 20 \ 50 + 8 ( x - 20 ) & \text { if } 20 < x \leq 100 \end{array} \right.$ 
B)  $\$ 4944 ; f ( x ) = \left\{ \begin{array} { l l } 50 x & \text { if } 0 < x \leq 20 \ 50 + 8 ( x - 20 ) & \text { if } 20 < x \leq 100 \end{array} \right.$ 
C) $914; $f ( x ) = \left\{ \begin{array} { l l } 50 & \text { if } 0 < x \leq 20 \ 50 + 8 ( x + 20 ) & \text { if } 20 < x \leq 100 \end{array} \right.$ 
D)  $\$ 914 ; f ( x ) = \left\{ \begin{array} { l l } 50 & \text { if } 0 < x \leq 20 \ 50 + 8 ( x - 20 ) & \text { if } 20 < x \leq 100 \end{array} \right.$ 
A)  $\$ 594 ; f ( x ) = \left\{ \begin{array} { l l } 50 & \text { if } 0 < x \leq 20 \ 50 + 8 ( x - 20 ) & \text { if } 20 < x \leq 100 \end{array} \right.$ 
B)  $\$ 4944 ; f ( x ) = \left\{ \begin{array} { l l } 50 x & \text { if } 0 < x \leq 20 \ 50 + 8 ( x - 20 ) & \text { if } 20 < x \leq 100 \end{array} \right.$ 
C) $914; $f ( x ) = \left\{ \begin{array} { l l } 50 & \text { if } 0 < x \leq 20 \ 50 + 8 ( x + 20 ) & \text { if } 20 < x \leq 100 \end{array} \right.$ 
D)  $\$ 914 ; f ( x ) = \left\{ \begin{array} { l l } 50 & \text { if } 0 < x \leq 20 \ 50 + 8 ( x - 20 ) & \text { if } 20 < x \leq 100 \end{array} \right.$

Question 19

Solve the problem. Write all linear equations in slope-intercept form.
-With $31.5 \%$ commitment, a company can clean up $40 \%$ of an oil spill. With $35.5 \%$ commitment, it can clean up $72 \%$ of an oil spill. Find a linear equation that models the percent cleanup for $x$ percent commitment.

Accepted Answer

A)  $y = x + 32$ 
B)  $y = 8 x - 212$ 
C)  $y = 4 x + 32$ 
D)  $y = 8 x + 212$ 
A)  $y = x + 32$ 
B)  $y = 8 x - 212$ 
C)  $y = 4 x + 32$ 
D)  $y = 8 x + 212$

Question 20

Decide whether the relation defines a function.
-

Accepted Answer

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

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

Graph the equation by determining the missing values needed to plot the ordered pairs. - $4 y=-2 x+8 ;(0, \quad),(, 0),(1, \quad)$ $Graph the equation by determining the missing values needed to plot the ordered pairs. - 4 y=-2 x+8 ;(0, \quad),(, 0),(1, \quad)$

List the ordered pairs from the table. -

Match the description with the correct symbolic expression. -a linear function whose graph has a slope of 4

Give the domain and range of the relation. -

Give the domain and range of the relation. - $x = y ^ { 2 }$

Decide whether the relation defines a function. -Annual New Telemarketing Companies

Refer to the following graphs to determine an appropriate response. -Which is not the graph of a function? What is its equation?

Decide whether the relation defines a function. -

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

Use the graph to solve the problem. -At what time was the temperature its lowest?

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. -midpoint (a, w), endpoint (m, q)

Give the domain and range of the relation. - .

Describe how the graph of the equation relates to the graph of y = x2. - $f ( x ) = ( x - 7 ) ^ { 2 }$

Match the description with the correct symbolic expression. -a constant function

Graph the equation by plotting points. - $y=x^{3}-2$ $Graph the equation by plotting points. - y=x^{3}-2$

Solve the problem. Write all linear equations in slope-intercept form. -A biologist recorded 2 snakes on 14 acres in one area and 20 snakes on 31 acres in another area. Find a linear equation that models the number of snakes in $\mathrm { x }$ acres.

Solve the problem. Write all linear equations in slope-intercept form. -With $31.5 \%$ commitment, a company can clean up $40 \%$ of an oil spill. With $35.5 \%$ commitment, it can clean up $72 \%$ of an oil spill. Find a linear equation that models the percent cleanup for $x$ percent commitment.

Decide whether the relation defines a function. -

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

Review of Basic Concepts

Filters

Exam 2: Graphs and Functions

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

Graph the equation by determining the missing values needed to plot the ordered pairs. - 4y=−2x+8;(0,),(,0),(1,)4 y=-2 x+8 ;(0, \quad),(, 0),(1, \quad)4y=−2x+8;(0,),(,0),(1,)

List the ordered pairs from the table. -

Match the description with the correct symbolic expression. -a linear function whose graph has a slope of 4

Give the domain and range of the relation. -

Give the domain and range of the relation. - x=y2x = y ^ { 2 }x=y2

Decide whether the relation defines a function. -Annual New Telemarketing Companies

Refer to the following graphs to determine an appropriate response. -Which is not the graph of a function? What is its equation?

Decide whether the relation defines a function. -

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

Use the graph to solve the problem. -At what time was the temperature its lowest?

Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. -midpoint (a, w), endpoint (m, q)

Give the domain and range of the relation. - .

Describe how the graph of the equation relates to the graph of y = x2. - f(x)=(x−7)2f ( x ) = ( x - 7 ) ^ { 2 }f(x)=(x−7)2

Match the description with the correct symbolic expression. -a constant function

Graph the equation by plotting points. - y=x3−2y=x^{3}-2y=x3−2

Solve the problem. Write all linear equations in slope-intercept form. -A biologist recorded 2 snakes on 14 acres in one area and 20 snakes on 31 acres in another area. Find a linear equation that models the number of snakes in x\mathrm { x }x acres.

Decide whether the relation defines a function. -

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

Review of Basic Concepts

Filters

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

Graph the equation by determining the missing values needed to plot the ordered pairs. - $4 y=-2 x+8 ;(0, \quad),(, 0),(1, \quad)$ $Graph the equation by determining the missing values needed to plot the ordered pairs. - 4 y=-2 x+8 ;(0, \quad),(, 0),(1, \quad)$

Give the domain and range of the relation. - $x = y ^ { 2 }$

Describe how the graph of the equation relates to the graph of y = x2. - $f ( x ) = ( x - 7 ) ^ { 2 }$

Graph the equation by plotting points. - $y=x^{3}-2$ $Graph the equation by plotting points. - y=x^{3}-2$

Solve the problem. Write all linear equations in slope-intercept form. -A biologist recorded 2 snakes on 14 acres in one area and 20 snakes on 31 acres in another area. Find a linear equation that models the number of snakes in $\mathrm { x }$ acres.