Question 1

Find the indicated function value.
-$$f ( x ) = 3 x ^ { 2 } + 3 x + 6 , g ( x ) = 4 x - 1$$
Find $( f + g ) ( - 5 )$.

Accepted Answer

A)  165 
B)  171 
C)  $- 105$ 
D)  45 
A)  165 
B)  171 
C)  $- 105$ 
D)  45

Question 2

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

Accepted Answer

A)  domain $= \{ - 1,1,6,16 \}$; range $= \{ - 9,7,1 , - 6 \}$ 
B)  domain $= \{ - 1,1,6 , - 6 \}$; range $= \{ - 9,7,1 , - 6 \}$ 
C)  domain $= \{ - 9,7,1 , - 6 \}$; range $= \{ - 1,1,6 \}$ 
D)  domain $= \{ - 1,1,6 \}$; range $= \{ - 9,7,1 , - 6 \}$ 
A)  domain $= \{ - 1,1,6,16 \}$; range $= \{ - 9,7,1 , - 6 \}$ 
B)  domain $= \{ - 1,1,6 , - 6 \}$; range $= \{ - 9,7,1 , - 6 \}$ 
C)  domain $= \{ - 9,7,1 , - 6 \}$; range $= \{ - 1,1,6 \}$ 
D)  domain $= \{ - 1,1,6 \}$; range $= \{ - 9,7,1 , - 6 \}$

Question 3

Express the interval in set builder notation and graph the interval on a number line.
-[-6, 8)

Accepted Answer

A)  $\{ x \mid - 6 < x \leq 8 \}$
  
B)  $\{ x \mid - 6 \leq x < 8 \}$
  
C)  $\{ x \mid - 6 \leq x \leq 8 \}$
  
D)  $\{ x \mid x < 8 \}$
  
A)  $\{ x \mid - 6 < x \leq 8 \}$
  
B)  $\{ x \mid - 6 \leq x < 8 \}$
  
C)  $\{ x \mid - 6 \leq x \leq 8 \}$
  
D)  $\{ x \mid x < 8 \}$

Question 4

Decide whether the relation is a function.
-$\{ ( 1,3 ) , ( 3 , - 6 ) , ( 5 , - 9 ) , ( 7,6 ) , ( 11,3 ) \}$

Accepted Answer

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

Question 5

Find the indicated function value.
-$$f ( x ) = 3 x + 5 , g ( x ) = 3 x ^ { 2 } + 4 x - 3$$
Find $( f + g ) ( 4 )$.

Accepted Answer

A)  46 
B)  78 
C)  68 
D)  66 
A)  46 
B)  78 
C)  68 
D)  66

Question 6

Express the interval in set builder notation and graph the interval on a number line.
-$[ 2.5 , \infty )$

Accepted Answer

A)  $\{ x \mid x  2.5 \}$
  
C)  $\{ x \mid x \geq 2.5 \}$ 
  
D)  $\{ x \mid x \leq 2.5 \}$
  
A)  $\{ x \mid x  2.5 \}$
  
C)  $\{ x \mid x \geq 2.5 \}$ 
  
D)  $\{ x \mid x \leq 2.5 \}$

Question 7

Express the interval in set builder notation and graph the interval on a number line.
-(-1, 4]

Accepted Answer

A)  $\{ x \mid - 1 < x \leq 4 \}$
  
B)  $\{ x \mid x \leq 4 \}$
  
C)  $\{ \mathrm { x } \mid - 1 \leq \mathrm { x } \leq 4 \}$
  
D)  $\{ x \mid - 1 < x < 4 \}$
  
A)  $\{ x \mid - 1 < x \leq 4 \}$
  
B)  $\{ x \mid x \leq 4 \}$
  
C)  $\{ \mathrm { x } \mid - 1 \leq \mathrm { x } \leq 4 \}$
  
D)  $\{ x \mid - 1 < x < 4 \}$

Question 8

Decide whether the relation is a function.
-$$\{ ( - 2,4 ) , ( 2 , - 4 ) , ( 6 , - 6 ) , ( 9,7 ) , ( 12 , - 7 ) \}$$

Accepted Answer

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

Question 9

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 10

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 11

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

Accepted Answer

A)  -3 
B)  3 
C)  1.5 
D)  9 
A)  -3 
B)  3 
C)  1.5 
D)  9

Question 12

Find the indicated function value.
-Find $f ( 0 )$ when $f ( x ) = x ^ { 2 } - 2 x + 7$

Accepted Answer

A)  49 
B)  7 
C)  $- 7$ 
D)  0 
A)  49 
B)  7 
C)  $- 7$ 
D)  0

Question 13

Express the interval in set builder notation and graph the interval on a number line.
-$$[ - 9,4 ]$$

Accepted Answer

A)  $\{ x \mid - 9 \leq x < 4 \}$
  
B)  $\{ x \mid - 9 < x \leq 4 \}$
  
C)  $\{ x \mid - 9 \leq x \leq 4 \}$
  
D)  $\{ x \mid - 9 < x < 4 \}$
   
A)  $\{ x \mid - 9 \leq x < 4 \}$
  
B)  $\{ x \mid - 9 < x \leq 4 \}$
  
C)  $\{ x \mid - 9 \leq x \leq 4 \}$
  
D)  $\{ x \mid - 9 < x < 4 \}$

Question 14

Express the interval in set builder notation and graph the interval on a number line.
-$$( - \infty , - 6 ]$$

Accepted Answer

A)  $\{ x \mid x < - 6 \}$
   
B)  $\{ x \mid x < - 6 \}$ 
  
C)  $\{ x \mid x \leq - 6 \}$
   
D)  $\{ x \mid x \leq - 6 \}$ 
  
A)  $\{ x \mid x < - 6 \}$
   
B)  $\{ x \mid x < - 6 \}$ 
  
C)  $\{ x \mid x \leq - 6 \}$
   
D)  $\{ x \mid x \leq - 6 \}$

Question 15

Find the indicated function value.
-Find $f ( - 1 )$ when $f ( x ) = x ^ { 2 } - 2 x + 4$

Accepted Answer

A)  $- 1$ 
B)  7 
C)  3 
D)  $- 5$ 
A)  $- 1$ 
B)  7 
C)  3 
D)  $- 5$

Question 16

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to
answer the question.  
-If f represents the function, find f(2010).

Accepted Answer

A)  approximately 31% 
B)  approximately 24% 
C)  approximately 25.5% 
D)  approximately 29% 
A)  approximately 31% 
B)  approximately 24% 
C)  approximately 25.5% 
D)  approximately 29%

Question 17

Find the domain and range.
-$$\{ ( - 3,8 ) , ( 5,5 ) , ( - 12 , - 3 ) , ( - 11 , - 4 ) , ( 1 , - 9 ) \}$$

Accepted Answer

A)  domain $= \{ 8,5,5,1 , - 9 \}$; range $= \{ - 11 , - 4 , - 12 , - 3 , - 3 \}$ 
B)  domain $= \{ - 4 , - 3,8,5 , - 9 \}$; range $= \{ - 11 , - 12 , - 3,5,1 \}$ 
C)  domain $= \{ - 11 , - 4 , - 12 , - 3 , - 3 \}$; range $= \{ 8,5,5,1 , - 9 \}$ 
D)  domain $= \{ - 11 , - 12 , - 3,5,1 \}$; range $= \{ - 4 , - 3,8,5 , - 9 \}$ 
A)  domain $= \{ 8,5,5,1 , - 9 \}$; range $= \{ - 11 , - 4 , - 12 , - 3 , - 3 \}$ 
B)  domain $= \{ - 4 , - 3,8,5 , - 9 \}$; range $= \{ - 11 , - 12 , - 3,5,1 \}$ 
C)  domain $= \{ - 11 , - 4 , - 12 , - 3 , - 3 \}$; range $= \{ 8,5,5,1 , - 9 \}$ 
D)  domain $= \{ - 11 , - 12 , - 3,5,1 \}$; range $= \{ - 4 , - 3,8,5 , - 9 \}$

Question 18

Find the indicated function value.
-Find g(a - 1) when g(x) = 3x - 4.

Accepted Answer

A)  3a - 11 
B)  3a 
C)  3a - 7 
D)  3a - 3 
A)  3a - 11 
B)  3a 
C)  3a - 7 
D)  3a - 3

Question 19

Decide whether the relation is a function.
-$$\{ ( - 5 , - 2 ) , ( - 3 , - 9 ) , ( 4 , - 3 ) , ( 4 , - 4 ) \}$$

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: $[ - 2 , \infty )$
range: $( \infty , \infty )$ 
B)  domain: $( \infty , \infty )$
range: $( - 2 , \infty )$ 
C)  domain: $( \infty , \infty )$
range: $[ - 2 , \infty )$ 
D)  domain: $( - 2 , \infty )$  
  range: $( \infty , \infty )$ 
A)  domain: $[ - 2 , \infty )$
range: $( \infty , \infty )$ 
B)  domain: $( \infty , \infty )$
range: $( - 2 , \infty )$ 
C)  domain: $( \infty , \infty )$
range: $[ - 2 , \infty )$ 
D)  domain: $( - 2 , \infty )$  
  range: $( \infty , \infty )$

Find the indicated function value. - $f ( x ) = 3 x ^ { 2 } + 3 x + 6 , g ( x ) = 4 x - 1$ Find $( f + g ) ( - 5 )$ .

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

Express the interval in set builder notation and graph the interval on a number line. -[-6, 8)

Decide whether the relation is a function. - $\{ ( 1,3 ) , ( 3 , - 6 ) , ( 5 , - 9 ) , ( 7,6 ) , ( 11,3 ) \}$

Find the indicated function value. - $f ( x ) = 3 x + 5 , g ( x ) = 3 x ^ { 2 } + 4 x - 3$ Find $( f + g ) ( 4 )$ .

Express the interval in set builder notation and graph the interval on a number line. - $[ 2.5 , \infty )$ $Express the interval in set builder notation and graph the interval on a number line. - [ 2.5 , \infty )$

Express the interval in set builder notation and graph the interval on a number line. -(-1, 4]

Decide whether the relation is a function. - $\{ ( - 2,4 ) , ( 2 , - 4 ) , ( 6 , - 6 ) , ( 9,7 ) , ( 12 , - 7 ) \}$

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

Find the indicated function value. -Find $f ( 0 )$ when $f ( x ) = x ^ { 2 } - 2 x + 7$

Express the interval in set builder notation and graph the interval on a number line. - $[ - 9,4 ]$

Express the interval in set builder notation and graph the interval on a number line. - $( - \infty , - 6 ]$ $Express the interval in set builder notation and graph the interval on a number line. - ( - \infty , - 6 ]$

Find the indicated function value. -Find $f ( - 1 )$ when $f ( x ) = x ^ { 2 } - 2 x + 4$

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question. -If f represents the function, find f(2010).

Find the domain and range. - $\{ ( - 3,8 ) , ( 5,5 ) , ( - 12 , - 3 ) , ( - 11 , - 4 ) , ( 1 , - 9 ) \}$

Find the indicated function value. -Find g(a - 1) when g(x) = 3x - 4.

Decide whether the relation is a function. - $\{ ( - 5 , - 2 ) , ( - 3 , - 9 ) , ( 4 , - 3 ) , ( 4 , - 4 ) \}$

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

Find the indicated function value. - f(x)=3x2+3x+6,g(x)=4x−1f ( x ) = 3 x ^ { 2 } + 3 x + 6 , g ( x ) = 4 x - 1f(x)=3x2+3x+6,g(x)=4x−1 Find (f+g)(−5)( f + g ) ( - 5 )(f+g)(−5) .

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

Express the interval in set builder notation and graph the interval on a number line. -[-6, 8)

Decide whether the relation is a function. - {(1,3),(3,−6),(5,−9),(7,6),(11,3)}\{ ( 1,3 ) , ( 3 , - 6 ) , ( 5 , - 9 ) , ( 7,6 ) , ( 11,3 ) \}{(1,3),(3,−6),(5,−9),(7,6),(11,3)}

Find the indicated function value. - f(x)=3x+5,g(x)=3x2+4x−3f ( x ) = 3 x + 5 , g ( x ) = 3 x ^ { 2 } + 4 x - 3f(x)=3x+5,g(x)=3x2+4x−3 Find (f+g)(4)( f + g ) ( 4 )(f+g)(4) .

Express the interval in set builder notation and graph the interval on a number line. - [2.5,∞)[ 2.5 , \infty )[2.5,∞)

Express the interval in set builder notation and graph the interval on a number line. -(-1, 4]

Decide whether the relation is a function. - {(−2,4),(2,−4),(6,−6),(9,7),(12,−7)}\{ ( - 2,4 ) , ( 2 , - 4 ) , ( 6 , - 6 ) , ( 9,7 ) , ( 12 , - 7 ) \}{(−2,4),(2,−4),(6,−6),(9,7),(12,−7)}

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

Find the indicated function value. -Find f(0)f ( 0 )f(0) when f(x)=x2−2x+7f ( x ) = x ^ { 2 } - 2 x + 7f(x)=x2−2x+7

Express the interval in set builder notation and graph the interval on a number line. - [−9,4][ - 9,4 ][−9,4]

Express the interval in set builder notation and graph the interval on a number line. - (−∞,−6]( - \infty , - 6 ](−∞,−6]

Find the indicated function value. -Find f(−1)f ( - 1 )f(−1) when f(x)=x2−2x+4f ( x ) = x ^ { 2 } - 2 x + 4f(x)=x2−2x+4

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the graph to answer the question. -If f represents the function, find f(2010).

Find the domain and range. - {(−3,8),(5,5),(−12,−3),(−11,−4),(1,−9)}\{ ( - 3,8 ) , ( 5,5 ) , ( - 12 , - 3 ) , ( - 11 , - 4 ) , ( 1 , - 9 ) \}{(−3,8),(5,5),(−12,−3),(−11,−4),(1,−9)}

Find the indicated function value. -Find g(a - 1) when g(x) = 3x - 4.

Decide whether the relation is a function. - {(−5,−2),(−3,−9),(4,−3),(4,−4)}\{ ( - 5 , - 2 ) , ( - 3 , - 9 ) , ( 4 , - 3 ) , ( 4 , - 4 ) \}{(−5,−2),(−3,−9),(4,−3),(4,−4)}

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

Find the indicated function value. - $f ( x ) = 3 x ^ { 2 } + 3 x + 6 , g ( x ) = 4 x - 1$ Find $( f + g ) ( - 5 )$ .

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

Decide whether the relation is a function. - $\{ ( 1,3 ) , ( 3 , - 6 ) , ( 5 , - 9 ) , ( 7,6 ) , ( 11,3 ) \}$

Find the indicated function value. - $f ( x ) = 3 x + 5 , g ( x ) = 3 x ^ { 2 } + 4 x - 3$ Find $( f + g ) ( 4 )$ .

Express the interval in set builder notation and graph the interval on a number line. - $[ 2.5 , \infty )$ $Express the interval in set builder notation and graph the interval on a number line. - [ 2.5 , \infty )$

Decide whether the relation is a function. - $\{ ( - 2,4 ) , ( 2 , - 4 ) , ( 6 , - 6 ) , ( 9,7 ) , ( 12 , - 7 ) \}$

Find the indicated function value. -Find $f ( 0 )$ when $f ( x ) = x ^ { 2 } - 2 x + 7$

Express the interval in set builder notation and graph the interval on a number line. - $[ - 9,4 ]$

Express the interval in set builder notation and graph the interval on a number line. - $( - \infty , - 6 ]$ $Express the interval in set builder notation and graph the interval on a number line. - ( - \infty , - 6 ]$

Find the indicated function value. -Find $f ( - 1 )$ when $f ( x ) = x ^ { 2 } - 2 x + 4$

Find the domain and range. - $\{ ( - 3,8 ) , ( 5,5 ) , ( - 12 , - 3 ) , ( - 11 , - 4 ) , ( 1 , - 9 ) \}$

Decide whether the relation is a function. - $\{ ( - 5 , - 2 ) , ( - 3 , - 9 ) , ( 4 , - 3 ) , ( 4 , - 4 ) \}$