Deck 8: Graphs, Functions, and Applications

Question 1

Find the function value.
Find f(2) when f(x) = -x + 5.

A) -3
B) 6
C) 3
D) 2

Answer 1

C

Question 2

Is the following correspondence a function?

-

Answer 2

True

Question 3

Find the function value.
Find f(4) when f(x) = -4x + 13.

A) -3
B) 8
C) -52
D) 13

Answer 3

A

Question 4

Is the following correspondence a function?

-

Question 5

Find the function value.
Find f(6) when f(x) =

A) -4
B) 10
C) -10
D) 6

Question 6

Is the following correspondence a function?

-

Question 7

Is the following correspondence a function?

-Domain: All students attending the University of Ohio Correspondence: Each student's teachers
Range: A set of teachers

Question 8

Is the following correspondence a function?

-

Question 9

Is the following correspondence a function?

-

Question 10

Find the function value.
Find f(-4) when f(x) = 5x - 1.

A) -21
B) 21
C) -11
D) -24

Question 11

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

A) 3a - 4
B) 3a + 1
C) 3a - 1
D)

Question 12

Find the function value.
Find f(2) when f(x) = + 3x + 1.

A) -3
B) 9
C) 11
D) -1

Question 13

Is the following correspondence a function?

-

Question 14

Find the function value.
Find f(2) when f(x) = + 3x - 5.

A) 5
B) -3
C) 19
D) 9

Question 15

Find the function value.
Find f(0) when f(x) = + 3x - 3.

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

Question 16

Is the following correspondence a function?

-

Question 17

Find the function value.
Find f(10) when f(x) = 9.

A) 9
B) -9
C) 90
D) 10

Question 18

Find the function value.
Find f(2a) when f(x) = + 6x.

A)
B)
C)
D)

Question 19

Is the following correspondence a function?

-

Question 20

Is the following correspondence a function?

-Domain: All students attending Laughlin Community College Correspondence: Each student's Social security Number Range: A set of Social Security Numbers

Question 21

Graph the function.
y = -4x - 5

A)
B)
C)
D)

Question 22

Solve the problem.
It has been determined that the number of fish f(t) that can be caught in t minutes in a certain pond using a certain bait is f(t) = .28t + 1, for t > 10. Find the approximate number of fish that can be caught if you fish for 32
Minutes.

A) About 9 fish
B) About 21 fish
C) About 36 fish
D) About 34 fish

Question 23

Find the function value.
Find f(10) when f(x) =

A) 729
B) 1000
C) 30
D) 59,049

Question 24

Determine whether the graph is the graph of a function.

-

Question 25

Graph the function.

A)
B)
C)
D)

Question 26

Graph the function.

A)
B)
C)
D)

Question 27

Determine whether the graph is the graph of a function.

-

Question 28

Graph the function.

A)
B)
C)
D)

Question 29

Determine whether the graph is the graph of a function.

-

Question 30

Graph the function.

A)
B)
C)
D)

Question 31

Determine whether the graph is the graph of a function.

-

Question 32

Graph the function.

A)
B)
C)
D)

Question 33

Graph the function.
f(x) = 3x + 2

A)
B)
C)
D)

Question 34

Graph the function.

A)
B)
C)
D)

Question 35

Graph the function.

A)
B)
C)
D)

Question 36

Solve the problem.
The function P(d) = gives the pressure, in atmospheres (atm), at a depth d feet in the sea. Find the pressure at 30 feet.

A)
B)
C)
D)

Question 37

Find the function value.
Find f(-3) when f(x) = + -3.

A) 24
B) 9
C) 78
D) -84

Question 38

Solve the problem.
The function F described by F(C) = + 32 gives the Fahrenheit temperature corresponding to the Celsius temperature C. Find the Fahrenheit temperature equivalent to 20 °C.

A) 104 °F
B) 140 °F
C) 68 °F
D) 176 °F

Question 39

Determine whether the graph is the graph of a function.

-

Question 40

Graph the function.

A)
B)
C)
D)

Question 41

Solve.
The graph shows the relationship between the area A of a rectangle and the length L, if the width is fixed. Find the area if the length is 11 cm.
Area Length (in cm)

A)
B)
C)
D)

Question 42

Solve.
The height h in feet of a projectile thrown upward from the roof of a building after time t seconds is shown in the graph below. How high will the projectile be after 1.1 seconds?
Height (in ft) Time (in sec)

A) 400 ft
B) 475 ft
C) 450 ft
D) 425 ft

Question 43

For the function represented in the graph, determine the domain or range, as requested.
Find the range.

A)
B)
C)
D)

Question 44

For the function represented in the graph, determine the domain or range, as requested.
Find the range.

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

Question 45

For the function represented in the graph, determine the domain or range, as requested.
Find the domain.

A)
B)
C)
D)

Question 46

For the function represented in the graph, determine the domain or range, as requested.
Find the domain.

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

Question 47

Solve.
The surface area a of a cylinder is shown in the graph below. What is the radius if the surface area is 30 Surface Area Height (in ft)

A) 1.2 m
B) 0.8 m
C) 1.0 m
D) 1.4 m

Question 48

Solve.
Cars sold Year Crafty Bill's Cool Car Sales opened as a used car sales lot in 1991. The graph shows the number of cars sold as a function
Of time. What is the approximate number of cars sold in 1993?

A) 150 cars
B) 600 cars
C) 750 cars
D) 700 cars

Question 49

The graph of a function f is provided. Determine the requested function value.
f(4)

A) 5
B) -5
C) -3
D) 3

Question 50

Determine whether the graph is the graph of a function.

-

Question 51

Solve.
Cars sold Year Crafty Bill's Cool Car Sales opened as a used car sales lot in 1991. The graph shows the number of cars sold as a function
Of time. What is the approximate number of cars sold in 1995?

A) 250 cars
B) 850 cars
C) 800 cars
D) 600 cars

Question 52

For the function represented in the graph, determine the domain or range, as requested.
Find the domain.

A)
B)
C)
D) all real numbers

Question 53

For the function represented in the graph, determine the domain or range, as requested.
Find the domain.

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

Question 54

The graph of a function f is provided. Determine the requested function value.
f(-1)

A) 0
B) -1
C) -2
D) 2

Question 55

For the function represented in the graph, determine the domain or range, as requested.
Find the range.

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

Question 56

For the function represented in the graph, determine the domain or range, as requested.
Find the range.

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

Question 57

The graph of a function f is provided. Determine the requested function value.
f(-1)

A) 4
B) -2
C) 6
D) 0

Question 58

For the function represented in the graph, determine the domain or range, as requested.
Find the domain.

A)
B)
C)
D)

Question 59

For the function represented in the graph, determine the domain or range, as requested.
Find the range.

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

Question 60

The graph of a function f is provided. Determine the requested function value.
f(1)

A) 1
B) -3
C) -1
D) -27

Question 61

A function f is depicted in the graph. Find any input values that produce the indicated output.
f(x) = -2

A) 0
B) 2, 0
C) -1, 3
D) 2

Question 62

Find the domain.
f(x) = 5x - 6

A)
B)
C)
D) All real numbers

Question 63

Find the function value.
f(-1)

A) -3
B) -4
C) -5
D) -7

Question 64

Find the domain.

A)
B)
C) All real numbers
D)

Question 65

Find the domain.
f(x) = -2x + 2

A)
B)
C)
D) All real numbers

Question 66

Determine the slope and the y-intercept.
y = 3x + 4

A) Slope 3, y-intercept (0, 4)
B) Slope 4, y-intercept (0, -3)
C) Slope 4, y-intercept (0, 3)
D) Slope -3, y-intercept (0, 4)

Question 67

Find the domain.

A)
B)
C) All real numbers
D)

Question 68

Determine the slope and the y-intercept.
y = -0.125x + 0.4

A) Slope -0.125, y-intercept (0, -0.4)
B) Slope 0.4, y-intercept (0, -0.125)
C) Slope -0.125, y-intercept (0, 0.4)
D) Slope 0.125, y-intercept (0, 0.4)

Question 69

The graph of a function f is provided. Determine the requested function value.
f(1)

A) 5
B) 4
C) 1
D) -1

Question 70

A function f is depicted in the graph. Find any input values that produce the indicated output.
f(x) = 2

A) 0
B) 1
C) 3
D) -1

Question 71

Determine the slope and the y-intercept.
y = -6.4x - 3

A) Slope -3, y-intercept (0, -6.4)
B) Slope 6.4, y-intercept (0, -3)
C) Slope -3, y-intercept (0, 6.4)
D) Slope -6.4, y-intercept (0, -3)

Question 72

A function f is depicted in the graph. Find any input values that produce the indicated output.
f(x) = 3

A)
B) 4
C)
D)

Question 73

Find the domain.

A)
B)
C)
D) All real numbers

Question 74

Find the domain.

A)
B)
C) All real numbers
D)

Question 75

Find the domain.

A)
B)
C)
D)

Question 76

Find the function value.
f(-2)

A) 5
B) 6
C) 7
D) 3

Question 77

A function f is depicted in the graph. Find any input values that produce the indicated output.
f(x) = -1

A) -4
B) 4, -2
C) -6, 4
D) -4, 2

Question 78

Determine the slope and the y-intercept.
f(x) = -4x - 6

A) Slope 4, y-intercept (0, -6)
B) Slope -6, y-intercept (0, 4)
C) Slope -4, y-intercept (0, -6)
D) Slope -6, y-intercept (0, -4)

Question 79

A function f is depicted in the graph. Find any input values that produce the indicated output.
f(x) = -3

A) 5
B) 4
C) -3
D) 6

Question 80

Find the domain.

A)
B)
C)
D)