Deck 8: Functions and Their Graphs

Question 1

Use a calculator to obtain at least eight points that are solutions to the equation. Then graph the equation by plotting
points.

Answer 1

Points plotted: Other points could be used.

Question 2

Graph the equation.

A)
B)
C)
D)

Answer 2

Question 3

List the set in roster form.
S = {x| x is an odd integer greater than 33 and less than or equal to 39}

A) {34, 35, 36, 37, 38, 39}
B) {33, 34, 35, 36, 37, 38, 39}
C) {35, 37, 39}
D) {33, 35, 37, 39}

Answer 3

{35, 37, 39}

Question 4

Graph the equation.

A)
B)
C)
D)

Question 5

Solve the problem.
Mark started out by walking up a hill for 5 minutes. For the next 5 minutes he walked down a steep hill to an elevation lower than his starting point. For the next 10 minutes he walked on level ground. For the next 10
Minutes he walked uphill. Determine which graph of elevation above sea level versus time matches the given
Situation.

A)
B)
C)
D)

Question 6

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the
graph to answer the question.
In what year were 20% of the students at State University enrolled in the College of Engineering?

A) 1990
B) 1975
C) 1980
D) 1985

Question 7

Graph the equation.

A)
B)
C)
D)

Question 8

Graph the equation.

A)
B)
C)
D)

Question 9

Graph the equation.

A)
B)
C)
D)

Question 10

Graph the equation.

A)
B)
C)
D)

Question 11

Use a calculator to obtain at least eight points that are solutions to the equation. Then graph the equation by plotting
points.

Question 12

The graph below shows the percentage of students enrolled in the College of Engineering at State University. Use the
graph to answer the question.
What percentage of the students at State University were enrolled in the College of Engineering in 1965?

A) approximately 4%
B) approximately 7.5%
C) approximately 9.5%
D) approximately 2.5%

Question 13

Graph the equation.

A)
B)
C)
D)

Question 14

Graph the equation.

A)
B)
C)
D)

Question 15

List the set in roster form.

A)
B) {1, 2, 3, 4}
C) {2, 3}
D) { }

Question 16

Use a calculator to obtain at least eight points that are solutions to the equation. Then graph the equation by plotting
points.

Question 17

Graph the equation.

A)
B)
C)
D)

Question 18

Use a calculator to obtain at least eight points that are solutions to the equation. Then graph the equation by plotting
points.

Question 19

Solve the problem.
A freight train traveled at a speed of 50 mph for 3 hours, then stayed in a station for 1 hour, and then traveled 30 mph for 2 hours. Make a graph of distance traveled versus time to match the given situation.

A)
B)
C)
D)

Question 20

Graph the equation.

A)
B)
C)
D)

Question 21

Express in set builder notation the set of numbers indicated on the number line.

A)
B)
C)
D)

Question 22

Illustrate the set on a number line.

A)
B)
C)
D)

Question 23

List the set in roster form.
S = {x| x is a whole number less than 6}

A) {1, 2, 3, 4, 5, 6}
B) {1, 2, 3, 4, 5}
C) {0, 1, 2, 3, 4, 5}
D) {0, 1, 2, 3, 4, 5, 6}

Question 24

Illustrate the set on a number line.

A)
B)
C)
D)

Question 25

Provide an appropriate response.
A relation is any set of .

A) domains
B) x-coordinates
C) y-coordinates
D) ordered pairs

Question 26

Illustrate the set on a number line.

A)
B)
C)
D)

Question 27

Illustrate the set on a number line.

A)
B)
C)
D)

Question 28

Illustrate the set on a number line.

A)
B)
C)
D)

Question 29

Provide an appropriate response.
In the notation y = f(x), y is the variable.

A) independent
B) dependent
C) y-coordinates
D) range

Question 30

Determine if the relation illustrated is a function. Give the domain and range of the function or relation.

A)
B)
C)
D)

Question 31

List the set in roster form.
S = {x| x is and integer between 4 and 5}

A) {4}
B) {4, 5}
C)
D) { }

Question 32

Express in set builder notation the set of numbers indicated on the number line.
A = -5.4

A)
B) {x| x > -5.4}
C) {x| x < -5.4}
D)

Question 33

Express in set builder notation the set of numbers indicated on the number line.

A) {x| x > -9}
B) {x| x < -9}
C)
D)

Question 34

List the set in roster form.
S = {x| x is a whole number multiple of 2}

A) {4, 6, 8, 10, 12, . . . }
B) {1, 2, 4, 6, 8, . . . }
C) {0, 2, 4, 6, 8, . . . }
D) {2, 4, 6, 8, 10, . . . }

Question 35

Illustrate the set on a number line.

A)
B)
C)
D)

Question 36

Provide an appropriate response.
In the notation y = f(x), x is the variable.

A) x-coordinates
B) dependent
C) domain
D) independent

Question 37

Provide an appropriate response.
The set of y-coordinates of a relation is called the of the relation.

A) ordered pairs
B) range
C) dependent
D) domain

Question 38

Illustrate the set on a number line.

A)
B)
C)
D)

Question 39

Determine if the relation illustrated is a function. Give the domain and range of the function or relation.

A)
B)
C)
D)

Question 40

Provide an appropriate response.
The set of of a relation is called the domain of the relation.

A) independent
B) ordered pairs
C) x-coordinates
D) y-coordinates

Question 41

Evaluate the function for the indicated value.
f(x) = -3x + 1; find f(3)

A) -6
B) -10
C) -8
D) -2

Question 42

Evaluate the function for the indicated value.

A)
B)
C)
D)

Question 43

Solve the problem.
The formula for the volume of a right circular cylinder is . If the height is 19 m, then the volume is a function of the radius, r. Write the function using function notation, where the height is 19. Determine the
Volume if the radius is 11 m.

A)
B)
C)
D)

Question 44

Determine whether the graph illustrated represents a function. Give the domain and range of the relation or function.

A)
B)
C)
D)

Question 45

Evaluate the function for the indicated value.

A) -32
B) 4
C) 32
D) -4

Question 46

Determine if the relation illustrated is a function. Give the domain and range of the function or relation.
{(-1, -3), (-1, -2), (-1, 0), (3, 2), (15, 4)}

A)
B)
C)
D)

Question 47

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) no
B) yes

Question 48

Determine if the relation illustrated is a function. Give the domain and range of the function or relation.

A)
B)
C)
D)

Question 49

Determine whether the graph illustrated represents a function. Give the domain and range of the relation or function.

A)
B)
C)
D)

Question 50

Determine if the relation illustrated is a function. Give the domain and range of the function or relation.
{(-4, 11), (-3, 4), (0, -5), (3, 4), (5, 20)}

A)
B)
C)
D)

Question 51

Determine whether the graph illustrated represents a function. Give the domain and range of the relation or function.

A)
B)
C)
D)

Question 52

Evaluate the function for the indicated value.

A)
B)
C)
D) - 2

Question 53

Solve the problem.
The formula for the circumference of a circle is The circumference is a function of the radius. Write the function using function notation. Determine the circumference when the radius is 4 mi.

A)
B)
C)
D)

Question 54

Solve the problem.
The formula for changing Celsius temperature to Fahrenheit temperature is The Fahrenheit temperature is a function of the Celsius temperature. Write the function in function notation. Find the
Fahrenheit temperature that corresponds to 20° C.

A)
B)
C)
D)

Question 55

Determine whether the graph illustrated represents a function. Give the domain and range of the relation or function.

A)
B)
C)
D)

Question 56

Solve the problem.
The formula for the area of a parallelogram is A = bh. If the base measures 29 inches, the area is a function of the altitude, h. Write the function in function notation where the base is 29. Determine the area of the parallelogram
When the altitude is 30 inches.

A)
B)
C)
D)

Question 57

Determine whether the graph illustrated represents a function. Give the domain and range of the relation or function.

A)
B)
C)
D)

Question 58

Evaluate the function for the indicated value.

A) -57
B) 4
C) 2
D) -4

Question 59

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(2000).

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

Question 60

Determine whether the graph illustrated represents a function. Give the domain and range of the relation or function.

A)
B)
C)
D)

Question 61

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 62

Graph the linear function by plotting the x- and y-intercepts.

A)
B)
C)
D)

Question 63

Graph the linear function by plotting the x- and y-intercepts.

A)
B)
C)
D)

Question 64

Graph the linear function by plotting the x- and y-intercepts.

A)
B)
C)
D)

Question 65

Graph the equation.

A)
B)
C)
D)

Question 66

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) 1985
C) 1970
D) 1980

Question 67

Write the equation in standard form.
y = -3x - 9

A) 3x + y = 9
B) -3x - 9y = 0
C) 3x + y = -9
D) -3x + y = -9

Question 68

Solve the problem.
The price of commodities, like pork bellies, is determined by supply and demand. Thus, the price of pork bellies is a function of the number of pounds of pork bellies produced. The price of a pound of pork bellies can be estimated by the
Function where f(Q) is the price of a pound of pork bellies and Q is the annual number of pounds of pork bellies produced.
i. Construct a graph showing the relationship between the number of pounds of pork bellies produced and the price
Of a pound of pork bellies.
ii. Estimate the cost of a pound of pork bellies if 70,000 pounds of pork bellies are produced in a given year.

A)
B)
C)
D)

Question 69

Graph the equation.

A)
B)
C)
D)

Question 70

Solve the problem.
The population of fruit flies, p, after n days from the first mating of ten flies is given by the function

A)
B)
C)
D)

Question 71

Write the equation in standard form.
8x = -3y - 9

A) 8x - 3y = -9
B) 8x - 3y = 9
C) 8x + 3y = 9
D) 8x + 3y = -9

Question 72

Graph the linear function by plotting the x- and y-intercepts.

A)
B)
C)
D)

Question 73

Graph the equation.

A)
B)
C)
D)

Question 74

Graph the equation.

A)
B)
C)
D)

Question 75

Find the x- and y-intercepts of the graph of the equation using a graphing calculator. Round to three decimal places, if
necessary.
12x - 24y = 8

A) (-0.333, 0), (0, 0.667)
B) (0.667, 0), (0, -0.667)
C) (0.667, 0), (0, -0.333)
D) (-0.667, 0), (0, -0.333)

Question 76

Graph the linear function by plotting the x- and y-intercepts.

A)
B)
C)
D)

Question 77

Graph the equation.

A)
B)
C)
D)

Question 78

Graph the linear function by plotting the x- and y-intercepts.

A)
B)
C)
D)

Question 79

Graph the linear function by plotting the x- and y-intercepts.

A)
B)
C)
D)

Question 80

Write the equation in standard form.
y - 5 = - 53 (x - 1)

A) 5x - 3y = 20
B) 5x - 3y = -10
C) 5x + 3y = 20
D) 5x + 3y = -10