Question 1

For the pair of functions, determine the domain of f + g.
-$$f ( x ) = 3 x - 9 , g ( x ) = \frac { 5 } { x + 7 }$$

Accepted Answer

A)  $( 0 , \infty )$ 
B)  $( \infty , - 7 )$ or $( - 7 , \infty )$ 
C)  $( \infty , \infty )$ 
D)  $(  \infty , - 5 )$ or $( - 5 , \infty )$ 
A)  $( 0 , \infty )$ 
B)  $( \infty , - 7 )$ or $( - 7 , \infty )$ 
C)  $( \infty , \infty )$ 
D)  $(  \infty , - 5 )$ or $( - 5 , \infty )$

Question 2

Use the graph to find the indicated function value.
-y = f(x). Find f(-3)

Accepted Answer

A)  3.5 
B)  2.5 
C)  -0.5 
D)  7 
A)  3.5 
B)  2.5 
C)  -0.5 
D)  7

Question 3

Express the interval in set builder notation and graph the interval on a number line.
-$$( - \infty , - 8 )$$

Accepted Answer

A)  $\{ x \mid x \leq - 8 \}$ 
  
B)  $\{ x \mid x < - 8 \}$ 
  
C)  $\{ x \mid x < - 8 \}$
   
D)  $\{ x \mid x \leq - 8 \}$ 
  
A)  $\{ x \mid x \leq - 8 \}$ 
  
B)  $\{ x \mid x < - 8 \}$ 
  
C)  $\{ x \mid x < - 8 \}$
   
D)  $\{ x \mid x \leq - 8 \}$

Question 4

Express the interval in set builder notation and graph the interval on a number line.
-$[ 8 , \infty )$

Accepted Answer

A)  $\{ x \mid x \geq 8 \}$ 
  
B)  $\{ x \mid x > 8 \}$
   
C)  $\{ x \mid x > 8 \}$
   
D)  $\{ x \mid x \geq 8 \}$
   
A)  $\{ x \mid x \geq 8 \}$ 
  
B)  $\{ x \mid x > 8 \}$
   
C)  $\{ x \mid x > 8 \}$
   
D)  $\{ x \mid x \geq 8 \}$

Question 5

Find the indicated function value.
-Find f(-9) when f(x) = -5x - 8.

Accepted Answer

A)  44.2 
B)  37 
C)  -53 
D)  53 
A)  44.2 
B)  37 
C)  -53 
D)  53

Question 6

Find the domain and range.
-$\{ ( 12,1 ) , ( - 8,7 ) , ( 10,2 ) , ( 8,5 ) \}$

Accepted Answer

A)  domain $= \{ 8,10,12 , - 8 \} ;$ range $= \{ 5,5,2,1,7 \}$ 
B)  domain $= \{ 5,2,1,7 \}$; range $= \{ 8,10,12 , - 8 \}$ 
C)  domain $= \{ 8,10,12 , - 8 \}$; range $= \{ 5 , - 1,2,1,7 \}$ 
D)  domain $= \{ 8,10,12 , - 8 \}$; range $= \{ 5,2,1,7 \}$ 
A)  domain $= \{ 8,10,12 , - 8 \} ;$ range $= \{ 5,5,2,1,7 \}$ 
B)  domain $= \{ 5,2,1,7 \}$; range $= \{ 8,10,12 , - 8 \}$ 
C)  domain $= \{ 8,10,12 , - 8 \}$; range $= \{ 5 , - 1,2,1,7 \}$ 
D)  domain $= \{ 8,10,12 , - 8 \}$; range $= \{ 5,2,1,7 \}$

Question 7

For the pair of functions, determine the domain of f + g.
-$f ( x ) = 4 x + - 10 , g ( x ) = 4 x + 3$

Accepted Answer

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

Question 8

Express the interval in set builder notation and graph the interval on a number line.
-

Accepted Answer

A)  domain: $[ 4 , \infty )$
 range: $( \infty , \infty )$ 
B)  domain: $( \infty , \infty )$
range: $[ 4 , \infty )$ 
C)  domain: $( \infty , \infty )$
range: $( 4 , \infty )$ ) 
D)  domain: $( 4 , \infty )$) 
 range: $(  \infty  , \infty )$ 
A)  domain: $[ 4 , \infty )$
 range: $( \infty , \infty )$ 
B)  domain: $( \infty , \infty )$
range: $[ 4 , \infty )$ 
C)  domain: $( \infty , \infty )$
range: $( 4 , \infty )$ ) 
D)  domain: $( 4 , \infty )$) 
 range: $(  \infty  , \infty )$

Question 9

Find the domain and range.
-$$\{ ( 5,1 ) , ( 5 , - 4 ) , ( 6,7 ) , ( 3,4 ) , ( - 9 , - 6 ) \}$$

Accepted Answer

A)  domain $= \{ 6,13 , - 9,3,5 \} ;$ range $= \{ 7 , - 6,4 , - 4,1 \}$ 
B)  domain $= \{ 6 , - 3 , - 9,3,5 \}$; range $= \{ 7 , - 6,4 , - 4,1 \}$ 
C)  domain $= \{ 6 , - 9,3,5 \}$; range $= \{ 7 , - 6,4 , - 4,1 \}$ 
D)  domain $= \{ 7 , - 6,4 , - 4,1 \}$; range $= \{ 6,6 , - 9,3,5 \}$ 
A)  domain $= \{ 6,13 , - 9,3,5 \} ;$ range $= \{ 7 , - 6,4 , - 4,1 \}$ 
B)  domain $= \{ 6 , - 3 , - 9,3,5 \}$; range $= \{ 7 , - 6,4 , - 4,1 \}$ 
C)  domain $= \{ 6 , - 9,3,5 \}$; range $= \{ 7 , - 6,4 , - 4,1 \}$ 
D)  domain $= \{ 7 , - 6,4 , - 4,1 \}$; range $= \{ 6,6 , - 9,3,5 \}$

Question 10

Find the indicated function value.
-$$f ( x ) = x ^ { 2 } - \frac { 1 } { 5 } x + 1 , g ( x ) = x ^ { 3 } + \frac { 3 } { 5 } x ^ { 2 } + x$$
Find $( f + g ) ( x )$

Accepted Answer

A)  $2 x ^ { 3 } + \frac { 1 } { 5 } x ^ { 2 } + 2 x$ 
B)  $x ^ { 3 } + \frac { 8 } { 5 } x ^ { 2 } + \frac { 4 } { 5 } x + 1$ 
C)  $2 x ^ { 3 } + \frac { 2 } { 5 } x ^ { 2 } + 2 x$ 
D)  $x ^ { 3 } + \frac { 4 } { 5 } x ^ { 2 } + \frac { 2 } { 5 } x + 1$ 
A)  $2 x ^ { 3 } + \frac { 1 } { 5 } x ^ { 2 } + 2 x$ 
B)  $x ^ { 3 } + \frac { 8 } { 5 } x ^ { 2 } + \frac { 4 } { 5 } x + 1$ 
C)  $2 x ^ { 3 } + \frac { 2 } { 5 } x ^ { 2 } + 2 x$ 
D)  $x ^ { 3 } + \frac { 4 } { 5 } x ^ { 2 } + \frac { 2 } { 5 } x + 1$

Question 11

Find the domain of the function.
-$$f ( x ) = x - \frac { 5 } { x + 9 }$$

Accepted Answer

A)  $( \infty , \infty )$ 
B)  $( x , 5 )$ or $( 5 , \infty )$ 
C)  $( \infty , - 9 )$ or $( - 9 , \infty )$ 
D)  $( \infty , 0 )$ or $( 0 , \infty )$ 
A)  $( \infty , \infty )$ 
B)  $( x , 5 )$ or $( 5 , \infty )$ 
C)  $( \infty , - 9 )$ or $( - 9 , \infty )$ 
D)  $( \infty , 0 )$ or $( 0 , \infty )$

Question 12

For the pair of functions, determine the domain of f + g.
-$$f ( x ) = \frac { 5 x } { x - 7 } , g ( x ) = \frac { 3 } { x + 1 }$$

Accepted Answer

A)  $( \infty , \infty )$ 
B)  $(  \infty , - 1 )$ or $( - 1,7 )$ or $( 7 , \infty )$ 
C)  $( \infty , - 1 )$ or $( 7 , \infty )$ 
D)  $( \infty , - 7 )$ or $( - 7,1 )$ or $( 1 , \infty )$ 
A)  $( \infty , \infty )$ 
B)  $(  \infty , - 1 )$ or $( - 1,7 )$ or $( 7 , \infty )$ 
C)  $( \infty , - 1 )$ or $( 7 , \infty )$ 
D)  $( \infty , - 7 )$ or $( - 7,1 )$ or $( 1 , \infty )$

Question 13

Find the domain of the function.
-$$f ( x ) = \frac { 1 } { x - 8 }$$

Accepted Answer

A)  $(  \infty , \infty )$ 
B)  $( \infty, 0 )$ or $( 0 , \infty )$ 
C)  $( 8 , \infty )$ 
D)  $(\infty,8 )$ or $( 8 , \infty )$ 
A)  $(  \infty , \infty )$ 
B)  $( \infty, 0 )$ or $( 0 , \infty )$ 
C)  $( 8 , \infty )$ 
D)  $(\infty,8 )$ or $( 8 , \infty )$

Question 14

Find the indicated function value.
-Find f(5) when f(x) = 5.

Accepted Answer

A)  5 
B)  0 
C)  -5 
D)  -25 
A)  5 
B)  0 
C)  -5 
D)  -25

Question 15

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

Accepted Answer

A)  7 
B)  9 
C)  -9 
D)  1.5 
A)  7 
B)  9 
C)  -9 
D)  1.5

Question 16

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 17

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 18

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 19

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 20

Express the interval in set builder notation and graph the interval on a number line.
-

Accepted Answer

A)  domain: $( * , \infty )$
range: $ \{-2\} $ 
B)  domain: $( 0 , \infty )$
range: $ \{-2\} $ 
C)  domain: $\{ - 2 \}$
range: $ (0, \infty) $ 
D)  domain: $\{ - 2 \}$
 range: $ (*, \infty) $ 
A)  domain: $( * , \infty )$
range: $ \{-2\} $ 
B)  domain: $( 0 , \infty )$
range: $ \{-2\} $ 
C)  domain: $\{ - 2 \}$
range: $ (0, \infty) $ 
D)  domain: $\{ - 2 \}$
 range: $ (*, \infty) $

For the pair of functions, determine the domain of f + g. - $f ( x ) = 3 x - 9 , g ( x ) = \frac { 5 } { x + 7 }$

Use the graph to find the indicated function value. -y = f(x). Find f(-3)

Express the interval in set builder notation and graph the interval on a number line. - $( - \infty , - 8 )$ $Express the interval in set builder notation and graph the interval on a number line. - ( - \infty , - 8 )$

Express the interval in set builder notation and graph the interval on a number line. - $[ 8 , \infty )$ $Express the interval in set builder notation and graph the interval on a number line. - [ 8 , \infty )$

Find the indicated function value. -Find f(-9) when f(x) = -5x - 8.

Find the domain and range. - $\{ ( 12,1 ) , ( - 8,7 ) , ( 10,2 ) , ( 8,5 ) \}$

For the pair of functions, determine the domain of f + g. - $f ( x ) = 4 x + - 10 , g ( x ) = 4 x + 3$

Express the interval in set builder notation and graph the interval on a number line. -

Find the domain and range. - $\{ ( 5,1 ) , ( 5 , - 4 ) , ( 6,7 ) , ( 3,4 ) , ( - 9 , - 6 ) \}$

Find the indicated function value. - $f ( x ) = x ^ { 2 } - \frac { 1 } { 5 } x + 1 , g ( x ) = x ^ { 3 } + \frac { 3 } { 5 } x ^ { 2 } + x$ Find $( f + g ) ( x )$

Find the domain of the function. - $f ( x ) = x - \frac { 5 } { x + 9 }$

For the pair of functions, determine the domain of f + g. - $f ( x ) = \frac { 5 x } { x - 7 } , g ( x ) = \frac { 3 } { x + 1 }$

Find the domain of the function. - $f ( x ) = \frac { 1 } { x - 8 }$

Find the indicated function value. -Find f(5) when f(x) = 5.

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

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

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

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

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

Express the interval in set builder notation and graph the interval on a number line. -

Variables, Real Numbers, and Mathematical Models

Linear Equations and Inequalities in One Variable

Linear Equations in Two Variables

Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

Inequalities and Problem Solving

Radicals, Radical Functions, and Rational Exponents

Filters

Exam 8: Basics of Functions

For the pair of functions, determine the domain of f + g. - f(x)=3x−9,g(x)=5x+7f ( x ) = 3 x - 9 , g ( x ) = \frac { 5 } { x + 7 }f(x)=3x−9,g(x)=x+75​

Use the graph to find the indicated function value. -y = f(x). Find f(-3)

Express the interval in set builder notation and graph the interval on a number line. - (−∞,−8)( - \infty , - 8 )(−∞,−8)

Express the interval in set builder notation and graph the interval on a number line. - [8,∞)[ 8 , \infty )[8,∞)

Find the indicated function value. -Find f(-9) when f(x) = -5x - 8.

Find the domain and range. - {(12,1),(−8,7),(10,2),(8,5)}\{ ( 12,1 ) , ( - 8,7 ) , ( 10,2 ) , ( 8,5 ) \}{(12,1),(−8,7),(10,2),(8,5)}

For the pair of functions, determine the domain of f + g. - f(x)=4x+−10,g(x)=4x+3f ( x ) = 4 x + - 10 , g ( x ) = 4 x + 3f(x)=4x+−10,g(x)=4x+3

Express the interval in set builder notation and graph the interval on a number line. -

Find the domain and range. - {(5,1),(5,−4),(6,7),(3,4),(−9,−6)}\{ ( 5,1 ) , ( 5 , - 4 ) , ( 6,7 ) , ( 3,4 ) , ( - 9 , - 6 ) \}{(5,1),(5,−4),(6,7),(3,4),(−9,−6)}

Find the indicated function value. - f(x)=x2−15x+1,g(x)=x3+35x2+xf ( x ) = x ^ { 2 } - \frac { 1 } { 5 } x + 1 , g ( x ) = x ^ { 3 } + \frac { 3 } { 5 } x ^ { 2 } + xf(x)=x2−51​x+1,g(x)=x3+53​x2+x Find (f+g)(x)( f + g ) ( x )(f+g)(x)

Find the domain of the function. - f(x)=x−5x+9f ( x ) = x - \frac { 5 } { x + 9 }f(x)=x−x+95​

For the pair of functions, determine the domain of f + g. - f(x)=5xx−7,g(x)=3x+1f ( x ) = \frac { 5 x } { x - 7 } , g ( x ) = \frac { 3 } { x + 1 }f(x)=x−75x​,g(x)=x+13​

Find the domain of the function. - f(x)=1x−8f ( x ) = \frac { 1 } { x - 8 }f(x)=x−81​

Find the indicated function value. -Find f(5) when f(x) = 5.

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

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

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

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

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

Express the interval in set builder notation and graph the interval on a number line. -

Variables, Real Numbers, and Mathematical Models

Linear Equations and Inequalities in One Variable

Linear Equations in Two Variables

Systems of Linear Equations

Exponents and Polynomials

Factoring Polynomials

Rational Expressions

Inequalities and Problem Solving

Radicals, Radical Functions, and Rational Exponents

Filters

For the pair of functions, determine the domain of f + g. - $f ( x ) = 3 x - 9 , g ( x ) = \frac { 5 } { x + 7 }$

Express the interval in set builder notation and graph the interval on a number line. - $( - \infty , - 8 )$ $Express the interval in set builder notation and graph the interval on a number line. - ( - \infty , - 8 )$

Express the interval in set builder notation and graph the interval on a number line. - $[ 8 , \infty )$ $Express the interval in set builder notation and graph the interval on a number line. - [ 8 , \infty )$

Find the domain and range. - $\{ ( 12,1 ) , ( - 8,7 ) , ( 10,2 ) , ( 8,5 ) \}$

For the pair of functions, determine the domain of f + g. - $f ( x ) = 4 x + - 10 , g ( x ) = 4 x + 3$

Find the domain and range. - $\{ ( 5,1 ) , ( 5 , - 4 ) , ( 6,7 ) , ( 3,4 ) , ( - 9 , - 6 ) \}$

Find the indicated function value. - $f ( x ) = x ^ { 2 } - \frac { 1 } { 5 } x + 1 , g ( x ) = x ^ { 3 } + \frac { 3 } { 5 } x ^ { 2 } + x$ Find $( f + g ) ( x )$

Find the domain of the function. - $f ( x ) = x - \frac { 5 } { x + 9 }$

For the pair of functions, determine the domain of f + g. - $f ( x ) = \frac { 5 x } { x - 7 } , g ( x ) = \frac { 3 } { x + 1 }$

Find the domain of the function. - $f ( x ) = \frac { 1 } { x - 8 }$