Deck 2: Functions and Graphs

Question 1

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

A)Not a function
B)Function

Answer 1

A

Question 2

Give the domain and range of the relation.
{(10, -3), (12, 3), (-8, -7), (6, -1)}

A)domain = {6, 10, -8, 12}; range = {-1, -1, -3, -7, 3}
B)domain = {-1, -3, -7, 3}; range = {6, 10, -8, 12}
C)domain = {6, 10, -8, 12}; range = {-1, 3, -3, -7, 3}
D)domain = {6, 10, -8, 12}; range = {-1, -3, -7, 3}

Answer 2

D

Question 3

Determine whether the equation defines y as a function of x.
x + y = 36

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

Answer 3

A

Question 4

Give the domain and range of the relation.
{(-6, -2), (10, -6), (9, -5), (9, 8)}

A)domain = {10, 9, -6, -9}; range = {-6, -5, -2, 8}
B)domain = {-6, -5, -2, 8}; range = {10, 9, -6}
C)domain = {10, 9, -6}; range = {-6, -5, -2, 8}
D)domain = {10, 9, -6, 19}; range = {-6, -5, -2, 8}

Question 5

Determine whether the relation is a function.
{(-7, 2), (-3, -3), (1, 8), (2, 3)}

A)Not a function
B)Function

Question 6

Give the domain and range of the relation.
{(-2, 3), (-1, 0), (0, -1), (1, 0), (3, 8)}

A)domain: {-2, -1, 1, 3}; range: {3, 0, -1, 8}
B)domain: {3, 0, -1, 8}; range: {-2, -1, 0, 1, 3}
C)domain: {3, 0, -1, 8}; range: {-2, -1, 1, 3}
D)domain: {-2, -1, 0, 1, 3}; range: {3, 0, -1, 8}

Question 7

Determine whether the relation is a function.
{(-6, -5), (-3, -7), (4, 6), (4, 8)}

A)Not a function
B)Function

Question 8

Determine whether the relation is a function.
{(-6, 1), (-3, -6), (4, -6), (4, -3)}

A)Function
B)Not a function

Question 9

Give the domain and range of the relation.
{(-6, 5), (-6, -7), (5, -6), (6, -1), (-4, -5)}

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

Question 10

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

A)Function
B)Not a function

Question 11

Give the domain and range of the relation.
{(-6, -3), (-8, -1), (-4, -7), (8, 2), (5, -4)}

A)domain = {2, -7, -3, -1, -4}; range = {8, -4, -6, -8, 5}
B)domain = {8, 2, -4, -7, -6}; range = {-3, -8, -1, 5, -4}
C)domain = {-3, -8, -1, 5, -4}; range = {8, 2, -4, -7, -6}
D)domain = {8, -4, -6, -8, 5}; range = {2, -7, -3, -1, -4}

Question 12

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

A)Not a function
B)Function

Question 13

Give the domain and range of the relation.
{(6, 7), (10, -8), (9, 6), (9, 2)}

A)domain = {9, 6, 10}; range = {6, 7, -8, 2}
B)domain = {9, 6, 10, -9}; range = {6, 7, -8, 2}
C)domain = {9, 6, 10, 19}; range = {6, 7, -8, 2}
D)domain = {6, 7, -8, 2}; range = {9, 6, 10}

Question 14

Determine whether the relation is a function.
{(1, 5), (2, 3), (5, -3), (7, -3), (11, 7)}

A)Function
B)Not a function

Question 15

Determine whether the relation is a function.
{(-7, -8), (-7, -5), (2, 2), (4, -8), (10, 6)}

A)Function
B)Not a function

Question 16

Give the domain and range of the relation.
{(5, -4), (1, -3), (1, 0), (10, 3), (26, 5)}

A)domain: {-4, -3, 0, 3, 5}; range: {5, 10, 1, 26}
B)domain: {5, 10, 1, 26}; range: {-4, -3, 3, 5}
C)domain: {-4, -3, 3, 5}; range: {5, 10, 1, 26}
D)domain: {5, 10, 1, 26}; range: {-4, -3, 0, 3, 5}

Question 17

Determine whether the equation defines y as a function of x.

Question 18

Determine whether the equation defines y as a function of x.

Question 19

Determine whether the relation is a function.
{(3, -9), (3, 3), (4, 9), (7, 4), (10, 7)}

A)Not a function
B)Function

Question 20

Determine whether the relation is a function.
{(-2, -9), (3, -5), (6, 6), (8, 1), (11, 2)}

A)Function
B)Not a function

Question 21

Determine whether the equation defines y as a function of x.

Question 22

Evaluate the function at the given value of the independent variable and simplify.

Question 23

Determine whether the equation defines y as a function of x.

Question 24

Determine whether the equation defines y as a function of x.

Question 25

Evaluate the function at the given value of the independent variable and simplify.

Question 26

Evaluate the function at the given value of the independent variable and simplify.

Question 27

Evaluate the function at the given value of the independent variable and simplify.

Question 28

The total cost in dollars for a certain company to produce x empty jars to be used by a jelly producer is given by the function C(x)= 0.8x + 40,000. Find C(50,000), the cost of producing 50,000 jars.

A)$40.80
B)$80,000
C)$40,000
D)$50,040

Question 29

Evaluate the function at the given value of the independent variable and simplify.

Question 30

Evaluate the function at the given value of the independent variable and simplify.

Question 31

Evaluate the function at the given value of the independent variable and simplify.

Question 32

Determine whether the equation defines y as a function of x.

Question 33

Determine whether the equation defines y as a function of x.

Question 34

Evaluate the function at the given value of the independent variable and simplify.

Question 35

Determine whether the equation defines y as a function of x.

Question 36

Determine whether the equation defines y as a function of x.

Question 37

Evaluate the function at the given value of the independent variable and simplify.

Question 38

Determine whether the equation defines y as a function of x.

Question 39

Determine whether the equation defines y as a function of x.

Question 40

Determine whether the equation defines y as a function of x.

Question 41

Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph
of f.

Question 42

Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph
of f.

Question 43

Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x.

A)function
B)not a function

Question 44

Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph
of f.

Question 45

Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x.

A)not a function
B)function

Question 46

Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x.

A)function
B)not a function

Question 47

Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph
of f.

Question 48

Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x.

A)function
B)not a function

Question 49

Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph
of f.

Question 50

Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x.

A)not a function
B)function

Question 51

Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph
of f.

Question 52

Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph
of f.

Question 53

Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph
of f.

Question 54

Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph
of f.

Question 55

Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x.

A)function
B)not a function

Question 56

Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x.

A)not a function
B)function

Question 57

Graph the given functions on the same rectangular coordinate system. Describe how the graph of g is related to the graph
of f.

Question 58

Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x.

A)function
B)not a function

Question 59

Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x.

A)not a function
B)function

Question 60

Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x.

A)function
B)not a function

Question 61

Identify the intercepts

Question 62

Identify the intercepts

Question 63

Use the graph to find the indicated function value.
y = f(x). Find f(5)

A)-11
B)9
C)11
D)2

Question 64

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

A)4
B)0
C)3
D)9

Question 65

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the
graph to answer the question.

Between what two years is the difference in function values equal to 5%?

A)between 1985 and 1990
B)between 1960 and 1965
C)between 1970 and 1975
D)between 1980 and 1985

Question 66

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

A)0.4
B)-1.6
C)-0.4
D)1.6

Question 67

Use the graph to determine the function's domain and range.

Question 68

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(x)= 15%, what year is represented by x?

A)1975
B)1970
C)1985
D)1980

Question 69

Use the graph to determine the function's domain and range.

Question 70

Use the graph to determine the function's domain and range.

Question 71

Identify the intercepts

Question 72

Identify the intercepts

Question 73

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(1990).

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

Question 74

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?

A)yes
B)no

Question 75

Use the graph to find the indicated function value.
y = f(x). Find f(-5)

A)2
B)-5
C)5
D)17

Question 76

Use the graph to determine the function's domain and range.

Question 77

Identify the intercepts

Question 78

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

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

Question 79

Use the vertical line test to determine whether or not the graph is a graph in which y is a function of x.

A)function
B)not a function

Question 80

Use the graph to determine the function's domain and range.