Question 1

Find the slope of the line that goes through the given points.
-$( 1,2 ) , ( - 5,2 )$

Accepted Answer

A)  1 
B)  5 
C)  0 
D)  11 
A)  1 
B)  5 
C)  0 
D)  11

Question 2

Use the vertical line test to determine whether or not the graph is a graph of a function.
-

Accepted Answer

A)  function 
B)  not a function 
A)  function 
B)  not a function

Question 3

Rewrite the given equation in slope-intercept form by solving for y.
--2x + 7y = 0

Accepted Answer

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

Question 4

Decide whether the relation is a function.
-{(3, 6), (3, 4), (5, -2), (7, -5), (11, 6)}

Accepted Answer

A)  function 
B)  not a function 
A)  function 
B)  not a function

Question 5

Find the slope of the line that goes through the given points.
-$$( - 8,19 ) , ( - 7,7 )$$

Accepted Answer

A)  $- 12$ 
B)  12 
C) $ - \frac { 26 } { 15 }$ 
D)  $- \frac { 1 } { 12 }$ 
A)  $- 12$ 
B)  12 
C) $ - \frac { 26 } { 15 }$ 
D)  $- \frac { 1 } { 12 }$

Question 6

Find the domain and range.
-{(6,-6), (-4,7), (9,8), (9,-1)}

Accepted Answer

A)  domain = {8, 7, -6, -1}; range = {9, -4, 6} 
B)  domain = {9, -4, 6, 19}; range = {8, 7, -6, -1} 
C)  domain = {9, -4, 6}; range = {8, 7, -6, -1} 
D)  domain = {9, -4, 6, -9}; range = {8, 7, -6, -1} 
A)  domain = {8, 7, -6, -1}; range = {9, -4, 6} 
B)  domain = {9, -4, 6, 19}; range = {8, 7, -6, -1} 
C)  domain = {9, -4, 6}; range = {8, 7, -6, -1} 
D)  domain = {9, -4, 6, -9}; range = {8, 7, -6, -1}

Question 7

Graph the equation in the rectangular coordinate system.
-$$4 y = - 12$$

Accepted Answer

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

Question 8

Use intercepts and a checkpoint to graph the linear function.
-

Accepted Answer

A)  $( 0 , - 5 ) , ( - 4,0 )$
  
B)  $( 0,5 ) , ( 4,0 )$
  
C)  $( 0 , - 5 ) , ( 4,0 )$
  
D)  $( 0,5 ) , ( - 4,0 )$
  
A)  $( 0 , - 5 ) , ( - 4,0 )$
  
B)  $( 0,5 ) , ( 4,0 )$
  
C)  $( 0 , - 5 ) , ( 4,0 )$
  
D)  $( 0,5 ) , ( - 4,0 )$

Question 9

Find the indicated function value.
-$$f ( x ) = x ^ { 2 } + \frac { 1 } { 3 } x - 3 , g ( x ) = x ^ { 3 } - \frac { 2 } { 3 } x ^ { 2 } + x$$
Find $( f + g ) ( x )$.

Accepted Answer

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

Question 10

Decide whether the relation is a function.
-$$f ( x ) = 3 x ^ { 2 } , g ( x ) = 3 x ^ { 2 } - 4$$

Accepted Answer

A)  $g$ shifts the graph of $f$ vertically
down 4 units
  
B)  $g$ shifts the graph of $f$ vertically  
down 4 units
  
C)  $g$ shifts the graph of $f$ vertically
up 4 units
  
D)  g shifts the graph of $f$ vertically
  up 4 units
  
A)  $g$ shifts the graph of $f$ vertically
down 4 units
  
B)  $g$ shifts the graph of $f$ vertically  
down 4 units
  
C)  $g$ shifts the graph of $f$ vertically
up 4 units
  
D)  g shifts the graph of $f$ vertically
  up 4 units

Question 11

Rewrite the given equation in slope-intercept form by solving for y.
-$$h ( x ) = - \frac { 1 } { 2 } x - 2$$

Accepted Answer

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

Question 12

Decide whether the relation is a function.
-$$f ( x ) = | x | , g ( x ) = | x | + 2$$

Accepted Answer

A)  g shifts the graph of f vertically
down 2 units
  
B)  $g$ shifts the graph of $f$ vertically
 up 2 units
  
C)  $g$ shifts the graph of f vertically
up 2 units
  
D)  $g$ shifts the graph of $f$ vertically
 down 2 units
  
A)  g shifts the graph of f vertically
down 2 units
  
B)  $g$ shifts the graph of $f$ vertically
 up 2 units
  
C)  $g$ shifts the graph of f vertically
up 2 units
  
D)  $g$ shifts the graph of $f$ vertically
 down 2 units

Question 13

Use the vertical line test to determine whether or not the graph is a graph of a function.
-

Accepted Answer

A)  function 
B)  not a function 
A)  function 
B)  not a function

Question 14

Find the slope of the line that goes through the given points.
-

Accepted Answer

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

Question 15

For the pair of functions, determine the domain of f + g.
-$$f ( x ) = 5 x - 1 , g ( x ) = \frac { 4 } { x - 2 }$$

Accepted Answer

A)  $( \infty , \infty )$ 
B)  $( 0 , \infty )$ 
C)  $( x , - 4 )$ or $( - 4 , \infty )$ 
D)  $( \infty , 2 )$ or $( 2 , \infty )$ 
A)  $( \infty , \infty )$ 
B)  $( 0 , \infty )$ 
C)  $( x , - 4 )$ or $( - 4 , \infty )$ 
D)  $( \infty , 2 )$ or $( 2 , \infty )$

Question 16

Use the vertical line test to determine whether or not the graph is a graph of a function.
-

Accepted Answer

A)  not a function 
B)  function 
A)  not a function 
B)  function

Question 17

Find the requested value.
-$$f ( x ) = x - 1 , g ( x ) = 4 x ^ { 2 } + 13 x + 1$$
Find $( f g ) ( - 3 )$.

Accepted Answer

A)  $- 74$ 
B)  8 
C)  116 
D)  4 
A)  $- 74$ 
B)  8 
C)  116 
D)  4

Question 18

Find the requested value.
-$$f ( x ) = 3 x - 4 , g ( x ) = 5 x ^ { 2 } + 14 x + 2$$
Find $\left( \frac { f } { g } \right) ( - 3 )$.

Accepted Answer

A)  $- \frac { 5 } { 5 }$ 
B)  $- \frac { 13 } { 5 }$ 
C)  $\frac { 5 } { 5 }$ 
D)  3 
A)  $- \frac { 5 } { 5 }$ 
B)  $- \frac { 13 } { 5 }$ 
C)  $\frac { 5 } { 5 }$ 
D)  3

Question 19

For the pair of functions, determine the domain of f + g.
-$$f ( x ) = \frac { 2 x } { x - 1 } , g ( x ) = \frac { 4 } { x + 9 }$$

Accepted Answer

A)  $( \infty , \infty )$ 
B)  $( \infty , - 9 )$ or $( 1 , \infty )$ 
C)  $( \infty , - 1 )$ or $( - 1,9 )$ or $( 9 , \infty )$ 
D)  $( - \infty , - 9 )$ or $( - 9,1 )$ or $( 1 , \infty )$ 
A)  $( \infty , \infty )$ 
B)  $( \infty , - 9 )$ or $( 1 , \infty )$ 
C)  $( \infty , - 1 )$ or $( - 1,9 )$ or $( 9 , \infty )$ 
D)  $( - \infty , - 9 )$ or $( - 9,1 )$ or $( 1 , \infty )$

Question 20

Use the graph to find the indicated function value.
-y = f(x). Find f(4).

Accepted Answer

A)  4 
B)  1.75 
C)  13 
D)  -4 
A)  4 
B)  1.75 
C)  13 
D)  -4

Find the slope of the line that goes through the given points. - $( 1,2 ) , ( - 5,2 )$

Use the vertical line test to determine whether or not the graph is a graph of a function. -

Rewrite the given equation in slope-intercept form by solving for y. --2x + 7y = 0

Decide whether the relation is a function. -{(3, 6), (3, 4), (5, -2), (7, -5), (11, 6)}

Find the slope of the line that goes through the given points. - $( - 8,19 ) , ( - 7,7 )$

Find the domain and range. -{(6,-6), (-4,7), (9,8), (9,-1)}

Graph the equation in the rectangular coordinate system. - $4 y = - 12$

Use intercepts and a checkpoint to graph the linear function. -

Find the indicated function value. - $f ( x ) = x ^ { 2 } + \frac { 1 } { 3 } x - 3 , g ( x ) = x ^ { 3 } - \frac { 2 } { 3 } x ^ { 2 } + x$ Find $( f + g ) ( x )$ .

Decide whether the relation is a function. - $f ( x ) = 3 x ^ { 2 } , g ( x ) = 3 x ^ { 2 } - 4$ $Decide whether the relation is a function. - f ( x ) = 3 x ^ { 2 } , g ( x ) = 3 x ^ { 2 } - 4$

Rewrite the given equation in slope-intercept form by solving for y. - $h ( x ) = - \frac { 1 } { 2 } x - 2$ $Rewrite the given equation in slope-intercept form by solving for y. - h ( x ) = - \frac { 1 } { 2 } x - 2$

Decide whether the relation is a function. - $f ( x ) = | x | , g ( x ) = | x | + 2$

Use the vertical line test to determine whether or not the graph is a graph of a function. -

Find the slope of the line that goes through the given points. -

For the pair of functions, determine the domain of f + g. - $f ( x ) = 5 x - 1 , g ( x ) = \frac { 4 } { x - 2 }$

Use the vertical line test to determine whether or not the graph is a graph of a function. -

Find the requested value. - $f ( x ) = x - 1 , g ( x ) = 4 x ^ { 2 } + 13 x + 1$ Find $( f g ) ( - 3 )$ .

Find the requested value. - $f ( x ) = 3 x - 4 , g ( x ) = 5 x ^ { 2 } + 14 x + 2$ Find $\left( \frac { f } { g } \right) ( - 3 )$ .

For the pair of functions, determine the domain of f + g. - $f ( x ) = \frac { 2 x } { x - 1 } , g ( x ) = \frac { 4 } { x + 9 }$

Use the graph to find the indicated function value. -y = f(x). Find f(4).

Algebra, Mathematical Models, and Problem Solving

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Exam 2: Functions and Linear Functions

Find the slope of the line that goes through the given points. - (1,2),(−5,2)( 1,2 ) , ( - 5,2 )(1,2),(−5,2)

Use the vertical line test to determine whether or not the graph is a graph of a function. -

Rewrite the given equation in slope-intercept form by solving for y. --2x + 7y = 0

Decide whether the relation is a function. -{(3, 6), (3, 4), (5, -2), (7, -5), (11, 6)}

Find the slope of the line that goes through the given points. - (−8,19),(−7,7)( - 8,19 ) , ( - 7,7 )(−8,19),(−7,7)

Find the domain and range. -{(6,-6), (-4,7), (9,8), (9,-1)}

Graph the equation in the rectangular coordinate system. - 4y=−124 y = - 124y=−12

Use intercepts and a checkpoint to graph the linear function. -

Find the indicated function value. - f(x)=x2+13x−3,g(x)=x3−23x2+xf ( x ) = x ^ { 2 } + \frac { 1 } { 3 } x - 3 , g ( x ) = x ^ { 3 } - \frac { 2 } { 3 } x ^ { 2 } + xf(x)=x2+31​x−3,g(x)=x3−32​x2+x Find (f+g)(x)( f + g ) ( x )(f+g)(x) .

Decide whether the relation is a function. - f(x)=3x2,g(x)=3x2−4f ( x ) = 3 x ^ { 2 } , g ( x ) = 3 x ^ { 2 } - 4f(x)=3x2,g(x)=3x2−4

Rewrite the given equation in slope-intercept form by solving for y. - h(x)=−12x−2h ( x ) = - \frac { 1 } { 2 } x - 2h(x)=−21​x−2

Decide whether the relation is a function. - f(x)=∣x∣,g(x)=∣x∣+2f ( x ) = | x | , g ( x ) = | x | + 2f(x)=∣x∣,g(x)=∣x∣+2

Use the vertical line test to determine whether or not the graph is a graph of a function. -

Find the slope of the line that goes through the given points. -

For the pair of functions, determine the domain of f + g. - f(x)=5x−1,g(x)=4x−2f ( x ) = 5 x - 1 , g ( x ) = \frac { 4 } { x - 2 }f(x)=5x−1,g(x)=x−24​

Use the vertical line test to determine whether or not the graph is a graph of a function. -

Find the requested value. - f(x)=x−1,g(x)=4x2+13x+1f ( x ) = x - 1 , g ( x ) = 4 x ^ { 2 } + 13 x + 1f(x)=x−1,g(x)=4x2+13x+1 Find (fg)(−3)( f g ) ( - 3 )(fg)(−3) .

Find the requested value. - f(x)=3x−4,g(x)=5x2+14x+2f ( x ) = 3 x - 4 , g ( x ) = 5 x ^ { 2 } + 14 x + 2f(x)=3x−4,g(x)=5x2+14x+2 Find (fg)(−3)\left( \frac { f } { g } \right) ( - 3 )(gf​)(−3) .

For the pair of functions, determine the domain of f + g. - f(x)=2xx−1,g(x)=4x+9f ( x ) = \frac { 2 x } { x - 1 } , g ( x ) = \frac { 4 } { x + 9 }f(x)=x−12x​,g(x)=x+94​

Use the graph to find the indicated function value. -y = f(x). Find f(4).

Algebra, Mathematical Models, and Problem Solving

Systems of Linear Equations

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Polynomials, Polynomial Functions, and Factoring

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Find the slope of the line that goes through the given points. - $( 1,2 ) , ( - 5,2 )$

Find the slope of the line that goes through the given points. - $( - 8,19 ) , ( - 7,7 )$

Graph the equation in the rectangular coordinate system. - $4 y = - 12$

Find the indicated function value. - $f ( x ) = x ^ { 2 } + \frac { 1 } { 3 } x - 3 , g ( x ) = x ^ { 3 } - \frac { 2 } { 3 } x ^ { 2 } + x$ Find $( f + g ) ( x )$ .

Decide whether the relation is a function. - $f ( x ) = 3 x ^ { 2 } , g ( x ) = 3 x ^ { 2 } - 4$ $Decide whether the relation is a function. - f ( x ) = 3 x ^ { 2 } , g ( x ) = 3 x ^ { 2 } - 4$

Rewrite the given equation in slope-intercept form by solving for y. - $h ( x ) = - \frac { 1 } { 2 } x - 2$ $Rewrite the given equation in slope-intercept form by solving for y. - h ( x ) = - \frac { 1 } { 2 } x - 2$

Decide whether the relation is a function. - $f ( x ) = | x | , g ( x ) = | x | + 2$

For the pair of functions, determine the domain of f + g. - $f ( x ) = 5 x - 1 , g ( x ) = \frac { 4 } { x - 2 }$

Find the requested value. - $f ( x ) = x - 1 , g ( x ) = 4 x ^ { 2 } + 13 x + 1$ Find $( f g ) ( - 3 )$ .

Find the requested value. - $f ( x ) = 3 x - 4 , g ( x ) = 5 x ^ { 2 } + 14 x + 2$ Find $\left( \frac { f } { g } \right) ( - 3 )$ .

For the pair of functions, determine the domain of f + g. - $f ( x ) = \frac { 2 x } { x - 1 } , g ( x ) = \frac { 4 } { x + 9 }$