Question 1

Find the indicated function value.
-Find $g ( a - 1 )$ when $g ( x ) = \frac { 1 } { 5 } x - 5$

Accepted Answer

A)  $\frac { a + 26 } { 5 }$ 
B)  $\frac { a - 26 } { 5 }$ 
C)  $\frac { a - 30 } { 5 }$ 
D)  $\frac { a - 51 } { 5 }$ 
A)  $\frac { a + 26 } { 5 }$ 
B)  $\frac { a - 26 } { 5 }$ 
C)  $\frac { a - 30 } { 5 }$ 
D)  $\frac { a - 51 } { 5 }$

Question 2

Find the domain and range.
-$$\{ ( 1 , - 2 ) , ( - 3 , - 1 ) , ( - 3,0 ) , ( - 2,1 ) , ( 6,3 ) \}$$

Accepted Answer

A)  domain: $\{ 1 , - 2 , - 3,6 \}$; range: $\{ - 2 , - 1,1,3 \}$ 
B)  domain: $\{ - 2 , - 1,1,3 \}$; range: $\{ 1 , - 2 , - 3,6 \}$ 
C)  domain: $\{ - 2 , - 1,0,1,3 \}$; range: $\{ 1 , - 2 , - 3,6 \}$ 
D)  domain: $\{ 1 , - 2 , - 3,6 \}$; range: $\{ - 2 , - 1,0,1,3 \}$ 
A)  domain: $\{ 1 , - 2 , - 3,6 \}$; range: $\{ - 2 , - 1,1,3 \}$ 
B)  domain: $\{ - 2 , - 1,1,3 \}$; range: $\{ 1 , - 2 , - 3,6 \}$ 
C)  domain: $\{ - 2 , - 1,0,1,3 \}$; range: $\{ 1 , - 2 , - 3,6 \}$ 
D)  domain: $\{ 1 , - 2 , - 3,6 \}$; range: $\{ - 2 , - 1,0,1,3 \}$

Question 3

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 4

Express the interval in set builder notation and graph the interval on a number line.
-$$( - 3 , \infty )$$

Accepted Answer

A)  $\{ x \mid x > - 3 \}$
   
B)  $\{ x \mid x \geq - 3 \}$ 
  
C)  $\{ x \mid x \geq - 3 \}$ 
  
D)  $\{ x \mid x > - 3 \}$ 
  
A)  $\{ x \mid x > - 3 \}$
   
B)  $\{ x \mid x \geq - 3 \}$ 
  
C)  $\{ x \mid x \geq - 3 \}$ 
  
D)  $\{ x \mid x > - 3 \}$

Question 5

Decide whether the relation is a function.
-Tallest Roller Coaters in U.S. Amusement Parks $$\begin{array} { l | l l l l l l } 
\text { Amusement Park Name } & \text { Park A } & \text { Park A } & \text { Park B } & \text { Park C } & \text { Park B } & \text { Park A } \
\hline \text { Coaster Height (feet) } & 72 & 69 & 65 & 64 & 60 & 57
\end{array}$$

Accepted Answer

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

Question 6

Decide whether the relation is a function.
-$$\{ ( - 6,4 ) , ( - 1,5 ) , ( 1,1 ) , ( 1,7 ) \}$$

Accepted Answer

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

Question 7

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 8

Decide whether the relation is a function.
-$$\{ ( - 8 , - 9 ) , ( - 8 , - 8 ) , ( - 1 , - 9 ) , ( 5 , - 7 ) , ( 10 , - 6 ) \}$$

Accepted Answer

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

Question 9

For the pair of functions, determine the domain of f + g.
-$$f ( x ) = 2 x + 4 , g ( x ) = \frac { 5 } { x - 9 }$$

Accepted Answer

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

Question 10

Find the domain of the function.
-$$f ( x ) = \frac { 1 } { x - 6 } + \frac { 4 } { x + 12 }$$

Accepted Answer

A)  $( \infty , \infty )$ 
B)  $( \infty , - 6 )$ or $( - 6,12 )$ or $( 12 , \infty )$ 
C)  $( \infty , - 12 )$ or $( 6 , \infty )$ 
D)  $( \infty , - 12 )$ or $( - 12,6 )$ or $( 6 , \infty )$ 
A)  $( \infty , \infty )$ 
B)  $( \infty , - 6 )$ or $( - 6,12 )$ or $( 12 , \infty )$ 
C)  $( \infty , - 12 )$ or $( 6 , \infty )$ 
D)  $( \infty , - 12 )$ or $( - 12,6 )$ or $( 6 , \infty )$

Question 11

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

Accepted Answer

A)  27 
B)  11 
C)  21 
D)  35 
A)  27 
B)  11 
C)  21 
D)  35

Question 12

Decide whether the relation is a function.
-Women's Shoe Sizes $$\begin{array} { l | c c c c c c c } 
\text { USA } & 3 & 4 & 5 & 6 & 7 & 8 & 9 \
\hline \text { Japan } & 20 & 21 & 22 & 23 & 24 & 25 & 26
\end{array}$$

Accepted Answer

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

Question 13

Decide whether the relation is a function.
-$$\{ ( - 5 , - 3 ) , ( - 1,7 ) , ( 4,3 ) , ( 5,2 ) \}$$

Accepted Answer

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

Question 14

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to
answer the question.  
-Does the graph represent a function?

Accepted Answer

A)  yes 
B)  no 
A)  yes 
B)  no

Question 15

Find the indicated function value.
-Find $r ( a + 4 )$ when $r ( x ) = \frac { 7 } { x + 5 }$

Accepted Answer

A)  $\frac { 7 } { 5 } a + \frac { 28 } { 5 }$ 
B)  $\frac { 11 } { a + 5 }$ 
C)  $\frac { 7 } { a + 5 } + \frac { 7 } { 9 }$ 
D)  $\frac { 7 } { a + 9 }$ 
A)  $\frac { 7 } { 5 } a + \frac { 28 } { 5 }$ 
B)  $\frac { 11 } { a + 5 }$ 
C)  $\frac { 7 } { a + 5 } + \frac { 7 } { 9 }$ 
D)  $\frac { 7 } { a + 9 }$

Question 16

Find the indicated function value.
-$$f ( x ) = 5 - 8 x , g ( x ) = - 3 x + 8$$
Find $( f + g ) ( x )$.

Accepted Answer

A)  $- 5 x + 13$ 
B)  $2 x$ 
C)  $- 3 x + 5$ 
D)  $- 11 x + 13$ 
A)  $- 5 x + 13$ 
B)  $2 x$ 
C)  $- 3 x + 5$ 
D)  $- 11 x + 13$

Question 17

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 18

Express the interval in set builder notation and graph the interval on a number line.
-$( 3.5 , \infty )$

Accepted Answer

A)  $\{ x \mid x \leq 3.5 \}$ 
  
B)  $\{ x \mid x  3.5 \}$
  
A)  $\{ x \mid x \leq 3.5 \}$ 
  
B)  $\{ x \mid x  3.5 \}$

Question 19

Find the indicated function value.
-Find $f ( 3 )$ when $f ( x ) = \frac { x ^ { 2 } + 4 } { x ^ { 3 } - 6 x }$.

Accepted Answer

A)  $\frac { 13 } { 27 }$ 
B)  $\frac { 13 } { 9 }$ 
C)  $\frac { 13 } { 21 }$ 
D)  1 
A)  $\frac { 13 } { 27 }$ 
B)  $\frac { 13 } { 9 }$ 
C)  $\frac { 13 } { 21 }$ 
D)  1

Question 20

Find the indicated function value.
-$$f ( x ) = 3 x - 3 , g ( x ) = - 4 x - 5$$
Find $( f + g ) ( - 5 )$.

Accepted Answer

A)  $- 33$ 
B)  $- 23$ 
C)  2 
D)  $- 3$ 
A)  $- 33$ 
B)  $- 23$ 
C)  2 
D)  $- 3$

Find the indicated function value. -Find $g ( a - 1 )$ when $g ( x ) = \frac { 1 } { 5 } x - 5$

Find the domain and range. - $\{ ( 1 , - 2 ) , ( - 3 , - 1 ) , ( - 3,0 ) , ( - 2,1 ) , ( 6,3 ) \}$

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. - $( - 3 , \infty )$ $Express the interval in set builder notation and graph the interval on a number line. - ( - 3 , \infty )$

Decide whether the relation is a function. -Tallest Roller Coaters in U.S. Amusement Parks Amusement Park Name Park A Park A Park B Park C Park B Park A Coaster Height (feet) 72 69 65 64 60 57

Decide whether the relation is a function. - $\{ ( - 6,4 ) , ( - 1,5 ) , ( 1,1 ) , ( 1,7 ) \}$

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

Decide whether the relation is a function. - $\{ ( - 8 , - 9 ) , ( - 8 , - 8 ) , ( - 1 , - 9 ) , ( 5 , - 7 ) , ( 10 , - 6 ) \}$

For the pair of functions, determine the domain of f + g. - $f ( x ) = 2 x + 4 , g ( x ) = \frac { 5 } { x - 9 }$

Find the domain of the function. - $f ( x ) = \frac { 1 } { x - 6 } + \frac { 4 } { x + 12 }$

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

Decide whether the relation is a function. -Women's Shoe Sizes USA 3 4 5 6 7 8 9 Japan 20 21 22 23 24 25 26

Decide whether the relation is a function. - $\{ ( - 5 , - 3 ) , ( - 1,7 ) , ( 4,3 ) , ( 5,2 ) \}$

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question. -Does the graph represent a function?

Find the indicated function value. -Find $r ( a + 4 )$ when $r ( x ) = \frac { 7 } { x + 5 }$

Find the indicated function value. - $f ( x ) = 5 - 8 x , g ( x ) = - 3 x + 8$ Find $( f + g ) ( x )$ .

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. - $( 3.5 , \infty )$ $Express the interval in set builder notation and graph the interval on a number line. - ( 3.5 , \infty )$

Find the indicated function value. -Find $f ( 3 )$ when $f ( x ) = \frac { x ^ { 2 } + 4 } { x ^ { 3 } - 6 x }$ .

Find the indicated function value. - $f ( x ) = 3 x - 3 , g ( x ) = - 4 x - 5$ Find $( f + g ) ( - 5 )$ .

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

Find the indicated function value. -Find g(a−1)g ( a - 1 )g(a−1) when g(x)=15x−5g ( x ) = \frac { 1 } { 5 } x - 5g(x)=51​x−5

Find the domain and range. - {(1,−2),(−3,−1),(−3,0),(−2,1),(6,3)}\{ ( 1 , - 2 ) , ( - 3 , - 1 ) , ( - 3,0 ) , ( - 2,1 ) , ( 6,3 ) \}{(1,−2),(−3,−1),(−3,0),(−2,1),(6,3)}

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. - (−3,∞)( - 3 , \infty )(−3,∞)

Decide whether the relation is a function. -Tallest Roller Coaters in U.S. Amusement Parks Amusement Park Name Park A Park A Park B Park C Park B Park A Coaster Height (feet) 72 69 65 64 60 57

Decide whether the relation is a function. - {(−6,4),(−1,5),(1,1),(1,7)}\{ ( - 6,4 ) , ( - 1,5 ) , ( 1,1 ) , ( 1,7 ) \}{(−6,4),(−1,5),(1,1),(1,7)}

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

Decide whether the relation is a function. - {(−8,−9),(−8,−8),(−1,−9),(5,−7),(10,−6)}\{ ( - 8 , - 9 ) , ( - 8 , - 8 ) , ( - 1 , - 9 ) , ( 5 , - 7 ) , ( 10 , - 6 ) \}{(−8,−9),(−8,−8),(−1,−9),(5,−7),(10,−6)}

For the pair of functions, determine the domain of f + g. - f(x)=2x+4,g(x)=5x−9f ( x ) = 2 x + 4 , g ( x ) = \frac { 5 } { x - 9 }f(x)=2x+4,g(x)=x−95​

Find the domain of the function. - f(x)=1x−6+4x+12f ( x ) = \frac { 1 } { x - 6 } + \frac { 4 } { x + 12 }f(x)=x−61​+x+124​

Find the indicated function value. - f(x)=4x2+3,g(x)=3x2−4f ( x ) = 4 x ^ { 2 } + 3 , g ( x ) = 3 x ^ { 2 } - 4f(x)=4x2+3,g(x)=3x2−4 Find (f+g)(2)( f + g ) ( 2 )(f+g)(2) .

Decide whether the relation is a function. -Women's Shoe Sizes USA 3 4 5 6 7 8 9 Japan 20 21 22 23 24 25 26

Decide whether the relation is a function. - {(−5,−3),(−1,7),(4,3),(5,2)}\{ ( - 5 , - 3 ) , ( - 1,7 ) , ( 4,3 ) , ( 5,2 ) \}{(−5,−3),(−1,7),(4,3),(5,2)}

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question. -Does the graph represent a function?

Find the indicated function value. -Find r(a+4)r ( a + 4 )r(a+4) when r(x)=7x+5r ( x ) = \frac { 7 } { x + 5 }r(x)=x+57​

Find the indicated function value. - f(x)=5−8x,g(x)=−3x+8f ( x ) = 5 - 8 x , g ( x ) = - 3 x + 8f(x)=5−8x,g(x)=−3x+8 Find (f+g)(x)( f + g ) ( x )(f+g)(x) .

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. - (3.5,∞)( 3.5 , \infty )(3.5,∞)

Find the indicated function value. -Find f(3)f ( 3 )f(3) when f(x)=x2+4x3−6xf ( x ) = \frac { x ^ { 2 } + 4 } { x ^ { 3 } - 6 x }f(x)=x3−6xx2+4​ .

Find the indicated function value. - f(x)=3x−3,g(x)=−4x−5f ( x ) = 3 x - 3 , g ( x ) = - 4 x - 5f(x)=3x−3,g(x)=−4x−5 Find (f+g)(−5)( f + g ) ( - 5 )(f+g)(−5) .

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

Find the indicated function value. -Find $g ( a - 1 )$ when $g ( x ) = \frac { 1 } { 5 } x - 5$

Find the domain and range. - $\{ ( 1 , - 2 ) , ( - 3 , - 1 ) , ( - 3,0 ) , ( - 2,1 ) , ( 6,3 ) \}$

Express the interval in set builder notation and graph the interval on a number line. - $( - 3 , \infty )$ $Express the interval in set builder notation and graph the interval on a number line. - ( - 3 , \infty )$

Decide whether the relation is a function. - $\{ ( - 6,4 ) , ( - 1,5 ) , ( 1,1 ) , ( 1,7 ) \}$

Decide whether the relation is a function. - $\{ ( - 8 , - 9 ) , ( - 8 , - 8 ) , ( - 1 , - 9 ) , ( 5 , - 7 ) , ( 10 , - 6 ) \}$

For the pair of functions, determine the domain of f + g. - $f ( x ) = 2 x + 4 , g ( x ) = \frac { 5 } { x - 9 }$

Find the domain of the function. - $f ( x ) = \frac { 1 } { x - 6 } + \frac { 4 } { x + 12 }$

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

Decide whether the relation is a function. - $\{ ( - 5 , - 3 ) , ( - 1,7 ) , ( 4,3 ) , ( 5,2 ) \}$

Find the indicated function value. -Find $r ( a + 4 )$ when $r ( x ) = \frac { 7 } { x + 5 }$

Find the indicated function value. - $f ( x ) = 5 - 8 x , g ( x ) = - 3 x + 8$ Find $( f + g ) ( x )$ .

Express the interval in set builder notation and graph the interval on a number line. - $( 3.5 , \infty )$ $Express the interval in set builder notation and graph the interval on a number line. - ( 3.5 , \infty )$

Find the indicated function value. -Find $f ( 3 )$ when $f ( x ) = \frac { x ^ { 2 } + 4 } { x ^ { 3 } - 6 x }$ .

Find the indicated function value. - $f ( x ) = 3 x - 3 , g ( x ) = - 4 x - 5$ Find $( f + g ) ( - 5 )$ .