Question 1

Give the domain and range of the relation.
-{(-4, -5), (9, -1), (7, 3), (-3, -3)}

Accepted Answer

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

Question 2

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 A

Question 3

Give the domain and range of the relation.
-{(1, -7), (7, 1), (3, -1), (3, 4)}

Accepted Answer

A) domain = {1, 3, 7}; range = {-7, -1, 1, 4} 
B) domain = {-7, -1, 1, 4}; range = {1, 3, 7} 
C) domain = {1, 3, 7, 13}; range = {-7, -1, 1, 4} 
D) domain = {1, 3, 7, -3}; range = {-7, -1, 1, 4} 
A) domain = {1, 3, 7}; range = {-7, -1, 1, 4} 
B) domain = {-7, -1, 1, 4}; range = {1, 3, 7} 
C) domain = {1, 3, 7, 13}; range = {-7, -1, 1, 4} 
D) domain = {1, 3, 7, -3}; range = {-7, -1, 1, 4} A

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 represents the function, find f(1990).

Accepted Answer

A) approximately 26% 
B) approximately 28% 
C) approximately 22.5% 
D) approximately 21% 
A) approximately 26% 
B) approximately 28% 
C) approximately 22.5% 
D) approximately 21%

Question 5

Determine whether the equation defines y as a function of x.
-$$x + y ^ { 3 } = 1$$

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 6

Determine whether the relation is a function.
-{(-9, 2), (-9, 5), (2, 7), (4, -1), (9, 4)}

Accepted Answer

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

Question 7

Determine whether the equation defines y as a function of x.
-$$x y + 6 y = 1$$

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 8

Identify the intercepts.
-

Accepted Answer

A)  $( 1,0 ) , ( 0 , - 7 )$ 
B)  $( - 1,0 ) , ( 0 , - 7 )$ 
C)  $( 1,0 ) , ( 0,7 )$ 
D)  $( - 7,0 ) , ( 0,7 )$ 
A)  $( 1,0 ) , ( 0 , - 7 )$ 
B)  $( - 1,0 ) , ( 0 , - 7 )$ 
C)  $( 1,0 ) , ( 0,7 )$ 
D)  $( - 7,0 ) , ( 0,7 )$

Question 9

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 10

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.
-$f(x)=x^{3}, g(x)=x^{3}+3$

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 up 3 units
  
D)  g shifts the graph of f vertically down 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 up 3 units
  
D)  g shifts the graph of f vertically down 3 units

Question 11

Evaluate a Function
Evaluate the function at the given value of the independent variable and simplify.
-$$f ( x ) = \sqrt { x + 19 } ; \quad f ( - 3 )$$

Accepted Answer

A)  4 
B)  $- 4$ 
C)  2 
D)  not a real number 
A)  4 
B)  $- 4$ 
C)  2 
D)  not a real number

Question 12

Determine whether the relation is a function.
-{(-1, -6), (2, -5), (4, 9), (8, -5), (10, 3)}

Accepted Answer

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

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.
-$f(x)=\sqrt{x}, g(x)=\sqrt{x+1}$

Accepted Answer

A)  $g$ shifts the graph of $f 1$ unit to the left
  
B)  $g$ shifts the graph of $f 1$ unit to the right
  
C)  g shifts the graph of $f$ vertically up 1 unit
  
D)  g shifts the graph of $f$ vertically down 1 unit
  
A)  $g$ shifts the graph of $f 1$ unit to the left
  
B)  $g$ shifts the graph of $f 1$ unit to the right
  
C)  g shifts the graph of $f$ vertically up 1 unit
  
D)  g shifts the graph of $f$ vertically down 1 unit

Question 14

Evaluate a Function
Evaluate the function at the given value of the independent variable and simplify.
-$f ( x ) = 3 x ^ { 2 } - 4 x + 2 ; \quad f ( x - 1 )$

Accepted Answer

A)  $3 x ^ { 2 } - 10 x + 9$ 
B)  $- 10 x ^ { 2 } + 3 x + 9$ 
C)  $3 x ^ { 2 } - 10 x + 1$ 
D)  $3 x ^ { 2 } + 2 x + 1$ 
A)  $3 x ^ { 2 } - 10 x + 9$ 
B)  $- 10 x ^ { 2 } + 3 x + 9$ 
C)  $3 x ^ { 2 } - 10 x + 1$ 
D)  $3 x ^ { 2 } + 2 x + 1$

Question 15

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

Accepted Answer

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

Question 16

Solve the problem.
-The function P(x)= 0.65x - 57 models the relationship between the number of pretzels x that a certain vendor sells and the profit the vendor makes. Find P(1000), the profit the vendor makes from selling 1000
Pretzels.

Accepted Answer

A) $593 
B) $650 
C) $707 
D) $943 
A) $593 
B) $650 
C) $707 
D) $943

Question 17

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

-Does the graph represent a function?

Accepted Answer

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

Question 18

Determine whether the equation defines y as a function of x.
-$$x + y ^ { 2 } = 1$$

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 19

Determine whether the equation defines y as a function of x.
-5x + 7y = 8

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 20

Identify the intercepts.
-

Accepted Answer

A)  $( 2,0 ) , ( 0,6 )$ 
B)  $( - 2,0 ) , ( 0,6 )$ 
C)  $( 2,0 ) , ( 0 , - 6 )$ 
D)  $( - 6,0 ) , ( 0,6 )$ 
A)  $( 2,0 ) , ( 0,6 )$ 
B)  $( - 2,0 ) , ( 0,6 )$ 
C)  $( 2,0 ) , ( 0 , - 6 )$ 
D)  $( - 6,0 ) , ( 0,6 )$

Give the domain and range of the relation. -{(-4, -5), (9, -1), (7, 3), (-3, -3)}

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. -

Give the domain and range of the relation. -{(1, -7), (7, 1), (3, -1), (3, 4)}

Determine whether the equation defines y as a function of x. - $x + y ^ { 3 } = 1$

Determine whether the relation is a function. -{(-9, 2), (-9, 5), (2, 7), (4, -1), (9, 4)}

Determine whether the equation defines y as a function of x. - $x y + 6 y = 1$

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. -

Evaluate a Function Evaluate the function at the given value of the independent variable and simplify. - $f ( x ) = \sqrt { x + 19 } ; \quad f ( - 3 )$

Determine whether the relation is a function. -{(-1, -6), (2, -5), (4, 9), (8, -5), (10, 3)}

Evaluate a Function Evaluate the function at the given value of the independent variable and simplify. - $f ( x ) = 3 x ^ { 2 } - 4 x + 2 ; \quad f ( x - 1 )$

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

Solve the problem. -The function P(x)= 0.65x - 57 models the relationship between the number of pretzels x that a certain vendor sells and the profit the vendor makes. Find P(1000), the profit the vendor makes from selling 1000 Pretzels.

Determine whether the equation defines y as a function of x. - $x + y ^ { 2 } = 1$

Determine whether the equation defines y as a function of x. -5x + 7y = 8

Identify the intercepts. -

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

Give the domain and range of the relation. -{(-4, -5), (9, -1), (7, 3), (-3, -3)}

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. -

Give the domain and range of the relation. -{(1, -7), (7, 1), (3, -1), (3, 4)}

Determine whether the equation defines y as a function of x. - x+y3=1x + y ^ { 3 } = 1x+y3=1

Determine whether the relation is a function. -{(-9, 2), (-9, 5), (2, 7), (4, -1), (9, 4)}

Determine whether the equation defines y as a function of x. - xy+6y=1x y + 6 y = 1xy+6y=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. -

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)=x3,g(x)=x3+3f(x)=x^{3}, g(x)=x^{3}+3f(x)=x3,g(x)=x3+3

Evaluate a Function Evaluate the function at the given value of the independent variable and simplify. - f(x)=x+19;f(−3)f ( x ) = \sqrt { x + 19 } ; \quad f ( - 3 )f(x)=x+19​;f(−3)

Determine whether the relation is a function. -{(-1, -6), (2, -5), (4, 9), (8, -5), (10, 3)}

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+1f(x)=\sqrt{x}, g(x)=\sqrt{x+1}f(x)=x​,g(x)=x+1​

Evaluate a Function Evaluate the function at the given value of the independent variable and simplify. - f(x)=3x2−4x+2;f(x−1)f ( x ) = 3 x ^ { 2 } - 4 x + 2 ; \quad f ( x - 1 )f(x)=3x2−4x+2;f(x−1)

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

Solve the problem. -The function P(x)= 0.65x - 57 models the relationship between the number of pretzels x that a certain vendor sells and the profit the vendor makes. Find P(1000), the profit the vendor makes from selling 1000 Pretzels.

Determine whether the equation defines y as a function of x. - x+y2=1x + y ^ { 2 } = 1x+y2=1

Determine whether the equation defines y as a function of x. -5x + 7y = 8

Identify the intercepts. -

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. - $x + y ^ { 3 } = 1$

Determine whether the equation defines y as a function of x. - $x y + 6 y = 1$

Evaluate a Function Evaluate the function at the given value of the independent variable and simplify. - $f ( x ) = \sqrt { x + 19 } ; \quad f ( - 3 )$

Evaluate a Function Evaluate the function at the given value of the independent variable and simplify. - $f ( x ) = 3 x ^ { 2 } - 4 x + 2 ; \quad f ( x - 1 )$

Determine whether the equation defines y as a function of x. - $x + y ^ { 2 } = 1$