Question 1

Use the Vertical Line Test to Identify Functions
Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x.
-

Accepted Answer

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

Question 2

Determine whether the equation defines y as a function of x.
-$$y = \sqrt { 6 x - 2 }$$

Accepted Answer

A)  $y$ is a function of $x$ 
B)  $y$ is not a function of $x$ 
A)  $y$ is a function of $x$ 
B)  $y$ is not a function of $x$

Question 3

Give the domain and range of the relation.
-{(41, -3), (5, -2), (5, 0), (9, 2), (21, 4)}

Accepted Answer

A) domain: {41, 9, 5, 21}; range: {-3, -2, 0, 2, 4} 
B) domain: {-3, -2, 2, 4}; range: {41, 9, 5, 21} 
C) domain: {-3, -2, 0, 2, 4}; range: {41, 9, 5, 21} 
D) domain: {41, 9, 5, 21}; range: {-3, -2, 2, 4} 
A) domain: {41, 9, 5, 21}; range: {-3, -2, 0, 2, 4} 
B) domain: {-3, -2, 2, 4}; range: {41, 9, 5, 21} 
C) domain: {-3, -2, 0, 2, 4}; range: {41, 9, 5, 21} 
D) domain: {41, 9, 5, 21}; range: {-3, -2, 2, 4}

Question 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. $$\text { Percent of Students in College of Engineering }$$

-If f(x)= 26%, what year is represented by x?

Accepted Answer

A) 1990 
B) 1985 
C) 1995 
D) 1980 
A) 1990 
B) 1985 
C) 1995 
D) 1980

Question 5

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use
the graph to answer the question. $$\text { Percent of Students in College of Engineering }$$

-

Accepted Answer

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

Question 6

Identify the intercepts.
-

Accepted Answer

A)  $( - 2,0 ) , ( 0,8 )$ 
B)  $( - 2,0 ) , ( 0 , - 8 )$ 
C)  $( 2,0 ) , ( 0,8 )$ 
D)  $( - 2 , - 2 ) , ( 8,8 )$ 
A)  $( - 2,0 ) , ( 0,8 )$ 
B)  $( - 2,0 ) , ( 0 , - 8 )$ 
C)  $( 2,0 ) , ( 0,8 )$ 
D)  $( - 2 , - 2 ) , ( 8,8 )$

Question 7

Determine whether the relation is a function.
-{(-6, 6), (-1, 2), (2, -3), (5, 5)}

Accepted Answer

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

Question 8

Evaluate a Function
Evaluate the function at the given value of the independent variable and simplify.
-$$g ( x ) = 3 x + 1 ; \quad g ( x + 1 )$$

Accepted Answer

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

Question 9

Identify the intercepts.
-

Accepted Answer

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

Question 10

Use the Vertical Line Test to Identify Functions
Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x.
-

Accepted Answer

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

Question 11

Determine whether the equation defines y as a function of x.
-$$x ^ { 2 } + y ^ { 2 } = 36$$

Accepted Answer

A)  $y$ is a function of $x$ 
B)  $y$ is not a function of $x$ 
A)  $y$ is a function of $x$ 
B)  $y$ is not a function of $x$

Question 12

Determine whether the equation defines y as a function of x.
-$$y = x ^ { 3 }$$

Accepted Answer

A)  $y$ is a function of $x$ 
B)  $y$ is not a function of $x$ 
A)  $y$ is a function of $x$ 
B)  $y$ is not a function of $x$

Question 13

Graph Functions by Plotting Points
Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the
graph of f.
-$f(x)=\sqrt{x}, g(x)=\sqrt{x}+3$

Accepted Answer

A)  $g$ shifts the graph of $f$ vertically up 3 units
  
B)  g shifts the graph of f vertically down 3 units
  
C)  g shifts the graph of $f$ vertically down 3 units
  
D)  $g$ shifts the graph of $f$ vertically up 3 units
  
A)  $g$ shifts the graph of $f$ vertically up 3 units
  
B)  g shifts the graph of f vertically down 3 units
  
C)  g shifts the graph of $f$ vertically down 3 units
  
D)  $g$ shifts the graph of $f$ vertically up 3 units

Question 14

Use the graph to find the indicated function value.
-y = f(x). Find f(-1)

Accepted Answer

A)  $2.5$ 
B)  $- 2.5$ 
C)  $0.3$ 
D)  $- 0.3$ 
A)  $2.5$ 
B)  $- 2.5$ 
C)  $0.3$ 
D)  $- 0.3$

Question 15

Use the Vertical Line Test to Identify Functions
Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x.
-

Accepted Answer

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

Question 16

Evaluate a Function
Evaluate the function at the given value of the independent variable and simplify.
-$$f ( x ) = \frac { x ^ { 3 } + 8 } { x ^ { 2 } - 4 } ; \quad f ( 5 )$$

Accepted Answer

A)  $\frac { 19 } { 3 }$ 
B)  $\frac { 133 } { 25 }$ 
C)  $\frac { 125 } { 21 }$ 
D)  $\frac { 11 } { 7 }$ 
A)  $\frac { 19 } { 3 }$ 
B)  $\frac { 133 } { 25 }$ 
C)  $\frac { 125 } { 21 }$ 
D)  $\frac { 11 } { 7 }$

Question 17

Graph Functions by Plotting Points
Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the
graph of f.
-$f(x)=x, g(x)=x-4$

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 18

Use the Vertical Line Test to Identify Functions
Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x.
-

Accepted Answer

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

Question 19

Use the Vertical Line Test to Identify Functions
Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x.
-

Accepted Answer

A)  $\text { not a function }$ 
B)  function 
A)  $\text { not a function }$ 
B)  function

Question 20

Use the graph to find the indicated function value.
-y = f(x). Find f(-2)

Accepted Answer

A)  2 
B)  $- 2$ 
C)  5 
D)  $1.25$ 
A)  2 
B)  $- 2$ 
C)  5 
D)  $1.25$

Use the Vertical Line Test to Identify Functions Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x. -

Determine whether the equation defines y as a function of x. - $y = \sqrt { 6 x - 2 }$

Give the domain and range of the relation. -{(41, -3), (5, -2), (5, 0), (9, 2), (21, 4)}

Identify the intercepts. -

Determine whether the relation is a function. -{(-6, 6), (-1, 2), (2, -3), (5, 5)}

Evaluate a Function Evaluate the function at the given value of the independent variable and simplify. - $g ( x ) = 3 x + 1 ; \quad g ( x + 1 )$

Identify the intercepts. -

Use the Vertical Line Test to Identify Functions Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x. -

Determine whether the equation defines y as a function of x. - $x ^ { 2 } + y ^ { 2 } = 36$

Determine whether the equation defines y as a function of x. - $y = x ^ { 3 }$

Use the graph to find the indicated function value. -y = f(x). Find f(-1)

Use the Vertical Line Test to Identify Functions Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x. -

Evaluate a Function Evaluate the function at the given value of the independent variable and simplify. - $f ( x ) = \frac { x ^ { 3 } + 8 } { x ^ { 2 } - 4 } ; \quad f ( 5 )$

Graph Functions by Plotting Points Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph of f. - $f(x)=x, g(x)=x-4$

Use the Vertical Line Test to Identify Functions Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x. -

Use the Vertical Line Test to Identify Functions Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x. -

Use the graph to find the indicated function value. -y = f(x). Find f(-2)

Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Matrices and Determinants

Conic Sections

Sequences, Induction, and Probability

Filters

Exam 2: Functions and Graphs

Use the Vertical Line Test to Identify Functions Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x. -

Determine whether the equation defines y as a function of x. - y=6x−2y = \sqrt { 6 x - 2 }y=6x−2​

Give the domain and range of the relation. -{(41, -3), (5, -2), (5, 0), (9, 2), (21, 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. Percent of Students in College of Engineering \text { Percent of Students in College of Engineering } Percent of Students in College of Engineering -

Identify the intercepts. -

Determine whether the relation is a function. -{(-6, 6), (-1, 2), (2, -3), (5, 5)}

Evaluate a Function Evaluate the function at the given value of the independent variable and simplify. - g(x)=3x+1;g(x+1)g ( x ) = 3 x + 1 ; \quad g ( x + 1 )g(x)=3x+1;g(x+1)

Identify the intercepts. -

Use the Vertical Line Test to Identify Functions Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x. -

Determine whether the equation defines y as a function of x. - x2+y2=36x ^ { 2 } + y ^ { 2 } = 36x2+y2=36

Determine whether the equation defines y as a function of x. - y=x3y = x ^ { 3 }y=x3

Graph Functions by Plotting Points Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph of f. - f(x)=x,g(x)=x+3f(x)=\sqrt{x}, g(x)=\sqrt{x}+3f(x)=x​,g(x)=x​+3

Use the graph to find the indicated function value. -y = f(x). Find f(-1)

Use the Vertical Line Test to Identify Functions Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x. -

Evaluate a Function Evaluate the function at the given value of the independent variable and simplify. - f(x)=x3+8x2−4;f(5)f ( x ) = \frac { x ^ { 3 } + 8 } { x ^ { 2 } - 4 } ; \quad f ( 5 )f(x)=x2−4x3+8​;f(5)

Graph Functions by Plotting Points Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph of f. - f(x)=x,g(x)=x−4f(x)=x, g(x)=x-4f(x)=x,g(x)=x−4

Use the Vertical Line Test to Identify Functions Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x. -

Use the Vertical Line Test to Identify Functions Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x. -

Use the graph to find the indicated function value. -y = f(x). Find f(-2)

Equations and Inequalities

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Systems of Equations and Inequalities

Matrices and Determinants

Conic Sections

Sequences, Induction, and Probability

Filters

Determine whether the equation defines y as a function of x. - $y = \sqrt { 6 x - 2 }$

Evaluate a Function Evaluate the function at the given value of the independent variable and simplify. - $g ( x ) = 3 x + 1 ; \quad g ( x + 1 )$

Determine whether the equation defines y as a function of x. - $x ^ { 2 } + y ^ { 2 } = 36$

Determine whether the equation defines y as a function of x. - $y = x ^ { 3 }$

Evaluate a Function Evaluate the function at the given value of the independent variable and simplify. - $f ( x ) = \frac { x ^ { 3 } + 8 } { x ^ { 2 } - 4 } ; \quad f ( 5 )$

Graph Functions by Plotting Points Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph of f. - $f(x)=x, g(x)=x-4$