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Comparing Functions

Total questions: 80

Worksheet time: 5hrs 21mins

Name
Class
Date
1.
Equation A: y = 3x - 1
Equation B: y = 1/2x + 1
Which equation has a higher y intercept? 
a)
Equation A
b)
Equation B
c)
They have the same Y intercept
2.

Who has the greater rate of change?

a)

CJ has a greater rate of change with 6.5

b)

Holland has a greater rate of change with 6

c)

CJ has a greater rate of change with 2/13

d)

They have the same rate of change.

3.

Which company shows a greater slope?

a)

Water's Edge Rafts

b)

Ryan's Rafts

4.

Who has the greater rate of change (slope)?

a)

Troy has the greater rate of change.

b)

Lucy has the greater rate of change

c)

They have the same rate of change

5.

Which pizza place has the best starting salary?

a)

Bombino's

b)

Little Squeezers

c)

Pizza Tent

6.

How much will you pay Store A per week for a phone?

a)

$25

b)

$150

c)

$15

d)

$50

7.
Dave owns a lawn business. He charges $10 per hour and a $25 dollar disposal fee. What is the correct equation Dave would use to find out how much to charge his customers?
a)
y = 25x + 10
b)
x = 25y + 10
c)
y = 10x +25
d)
x = 10y + 25
8.
a)
Function
b)
Not a Function
9.

The left oval represents your x values and the right oval represents your y values. Is this a function?

a)

Yes

b)

No

10.
What is the definition of function?
a)
Has inputs and outputs
b)
Every input has only ONE output
c)
Inputs have different outputs every time
d)
x-values and y-values
11.
Which of these tables represent a function?
a)
A
b)
B
c)
C
d)
D
12.
a)
Function
b)
Not a function
13.
Which of the function(s) above are linear?
a)
Function I, only
b)
Function II, only
c)
Function I and Function II, only
d)
Function I, Function II, and Function III
14.

Is the function y=8x2y=\frac{8}{x^2}  linear or nonlinear?

a)

Linear

b)

Nonlinear

15.

Which graph represents a linear function?

a)
b)
c)
d)
16.
Who has the greater rate of change?
a)
Braden has the greater rate of change with 60/3
b)
Omar has the greater rate of change with 100
c)
Braden has the greatest rate of change with 60
d)
They both have the same rate of change
17.
Who has the greater rate of change?
a)
Tyler has the greater rate of change with 2/3
b)
Aubri has the greater rate of change with 3/2
c)
Tyler has the greater rate of change with 3/2
d)
They have the same rate of change.
18.
The graph shows the race between the tortoise and the hare. How much of a head start did the hare give the tortoise?
a)
2 minutes
b)
4 minutes
c)
7 minutes
d)
10 minutes
19.
How far into the race had the animals traveled before they were at the same location at the same time? Round your answer to the nearest foot.
a)
4 feet
b)
100 feet
c)
7 feet
d)
89 feet
20.
Which tree was the tallest when it was first planted?
a)
Tree A
b)
Tree B
c)
Tree C
21.
Compare the graphs of g(x) = 8x2  and f(x) = x2
a)
g(x) opens upward, and f(x) opens downward
b)
g(x) is narrower than f(x)
c)
g(x) is wider than f(x)
d)
g(x) has a vertex located higher on the y-axis than f(x)
22.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts
23.

Which statement below is TRUE regarding the two functions?

a)

Both functions are linear

b)

Both functions are increasing

c)

Both functions have a y-intercept of 1

d)

Both functions are exponential growth

24.

Which statement below is TRUE regarding the functions pictured?

a)

Both functions have a y-intercept of 3

b)

Both functions are increasing

c)

Both functions are linear

d)

Both functions have a MULTIPLYING pattern

25.

Which tree is growing fastest?

a)

A

b)

B

c)

C

d)

D

26.

Which pizza place has the best starting salary?

a)

Bombino's

b)

Little Squeezers

c)

Pizza Tent

27.

Which company costs more at the starting cost? With How much?

a)

Homework Lifeline as $ 0.5

b)

Homework Lifeline as $25

c)

Homework Lifeline as $10

d)

Homework SOS as $10

28.

Which statement is true?

a)

A

b)

B

c)

C

d)

D

29.

Suppose a bacteria is introduced to two different solutions in separate petri dishes. The bacteria in the first solution grow at a rate modeled by the function G(t) = (1.40)t. The bacteria in the second solution grow in accordance with the data displayed in the table.


Which statement best describes the growth rates exhibited within the two different solutions?

a)

The bacteria grow at the same rate in both solutions.

b)

The bacteria grow at a slower rate in the first solution.

c)

The bacteria grow at a faster rate in the first solution.

d)

The bacteria decay in the first solution and grow in the second solution.

30.

Leonard compared the cost of purchasing a gallon of gas at two different gas stations.

The function C(g) = 3.25 + 0.07x models the average cost of a gallon of gas at the first gas station after x months. The table below shows the average cost of a gallon of gas at the second gas station after different numbers of months.


Which statement is true?

a)

The first station had a higher initial price per gallon and increased at a greater amount per month than the second station.

b)

The second station had a higher initial price per gallon and increased at a greater amount per month than the first station.

c)

The first station had a higher initial price per gallon but increased at a smaller amount per month than the second station.

d)

The second station had a higher initial price per gallon but increased at a smaller amount per month than the first station.

31.

Jason invested money into two different accounts. He deposited $75 into the first account which earns 6% interest annually. The value of the second account after different amounts of time is shown in the table.


Which statement is true?

a)

Jason started with $4 less in the second account than the first account.

b)

Jason started with $5 less in the second account than the first account.

c)

Jason started with $4 more in the second account than the first account.

d)

Jason started with $5 more in the second account than the first account.

32.

Jay earns $50 per week, plus $5.25 for each hour worked in a given week. Fred’s earnings are calculated using the formula P = 6.25(x + 8), where x is the number of hours Matt worked.


Which statement is true?

a)

Jay earns $2.75 per hour less than Fred.

b)

Fred earns $40 more than Jay for 40 hours of work.

c)

Jay and Fred both earn the same for 40 hours of work in a week.

d)

Fred earns $42 less than Jay each week when both work 0 hours.

33.

Jason and Megan joined different online music clubs.

Jason joined a club that charges him $1.29 per song he downloads.

Megan joined a club that charges using the equation P = 0.89m + 2.37, where m is the number of songs she downloads.


Which statement is true if Jason and Megan each download 15 songs?

a)

Megan will pay $2.37 less than Jason.

b)

Jason will pay $2.37 less than Megan.

c)

Megan will pay $3.63 more than Jason.

d)

Jason will pay $3.63 more than Megan.

34.

Which function is exponential?

a)

A

b)

B

c)

C

35.
Pick a function that best models the following situation:  A babysitter getting paid hourly.
a)
Exponential
b)
Linear
c)
Quadratic
d)
Neither
36.

Which statement below is TRUE regarding the functions pictured?

a)

Both functions have a y-intercept of 3

b)

Both functions are increasing

c)

Both functions are linear

d)

Both functions have a MULTIPLYING pattern

37.

Which statement below is TRUE regarding the two functions?

a)

Both functions are linear

b)

Both functions are increasing

c)

Both functions have a y-intercept of 1

d)

Both functions are exponential growth

38.
Is this table linear, quadratic, exponential, or none of the above?
a)
linear
b)
quadratic
c)
exponential
d)
none of the above
39.
Is the graph linear, exponential or neither?
a)
Linear
b)
Exponential 
c)
Neither
40.
Is the graph linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
41.
What are the zeros?
a)
x= 0 and x= -4
b)
x= 0 and x= 4
c)
y= 0
d)
x= 2
42.
Slope is another word for:
a)
Initial Value
b)
Rate of Change
c)
Change in Y's
d)
Y-intercept
43.
Identify the function shown shown
.
a)
Linear
b)
Quadratic
c)
Exponential 
d)
Not answering
44.
Which function has the greatest y-intercept?
a)
f(x)
b)
h(x)
c)
g(x)
45.
Which function is linear?
a)
f(x)
b)
h(x)
c)
g(x)
46.
Which graph is linear?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
47.
What is the value of f(2)?
a)
2
b)
0
c)
1
d)
-3
48.
What is the rate of change of f(x) over the interval [0, 2]?
a)
-2
b)
2
c)
3/2
d)
2/3
49.
Which function is quadratic?
a)
f(x)
b)
h(x)
c)
g(x)
50.
Is the graph linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
51.
What is the rate of change for the following graph?
a)
80
b)
20
c)
40
d)
160
52.
Find the rate of change
a)
1
b)
2
c)
11
d)
Not a constant slope/Non-Linear
53.

Mason, James, and Michael are observing the growth of their kittens. They noticed that Kitten A and Kitten B are growing at different rates. Which kitten grows fastest? What is its rate of change?

a)

Kitten A with a rate of change of 3

b)

Kitten B with a rate of change of 4

c)

Kitten A with a rate of change of 4

d)

Kitten B with a rate of change of 3

54.

Noah and Michael each have a kitten. Noah's kitten is named Kitten A and Michael's kitten is named Kitten B. Which kitten weighed more when it was born?

a)

Kitten A

b)

Kitten B

c)

They weighed the same

d)

I need more information

55.

Abigail, Ava, and Lily are studying for their math test. They come across a graph in their textbook and decide to practice by finding the slope and y-intercept of the graph.

a)

Slope: 1/2

Y-Intercept: -2

b)

Slope: 2

Y-Intercept: 2

c)

Slope: -2

Y-Intercept: 4

d)

Slope: -1/2

Y-Intercept: 0

56.

Does this graph represent a linear or nonlinear relationship?

a)

Linear

b)

Nonlinear

57.

Does this graph represent a linear or nonlinear relationship?

a)

Linear

b)

Nonlinear

58.

Does this graph represent a linear or nonlinear relationship?

a)

Linear

b)

Nonlinear

59.

Select the linear equation.

a)

b)

60.
Is the function Linear or Nonlinear?
a)
Linear
b)
Nonlinear
61.

Does this equation represent a LINEAR or NONLINEAR function?

a)

linear

b)

nonlinear

62.

Which table is generated by the following equation?

y=x+4

a)
b)
c)
d)
63.

Which table is generated by this equation?

y=2x

a)
b)
c)
d)
64.

A(n) _________________ function will ADD the same number each time.

a)

Linear

b)

Exponential

c)

Neither

65.

A(n) _________________ function will MULTIPLY the same number each time.

a)

Linear

b)

Exponential

c)

Neither

66.

What is the pattern for this table

a)

+5

b)

-5

c)

x5

d)

x2

67.

What is the pattern for this table?

a)

+5

b)

-5

c)

x2

d)

+2

68.
What type of function describes the story below?
You have $5 and triple your money every day. 
a)
Linear
b)
Exponential
c)
Neither
69.
The iPhone X is valued at $1000 upon purchase. The value is expected to decrease by 14% each year. What type of function is this? 
a)
Linear 
b)
Exponential 
c)
Neither 
70.
Uber charges an initial fee of $2 plus $0.75 per mile. What type of function is this? 
a)
Linear 
b)
Exponential 
c)
Neither 
71.

Is this graph linear or exponential?

a)

Linear

b)

Exponential

c)

Neither

72.

Is this graph linear or exponential?

a)

Linear

b)

Exponential

c)

Neither

73.

Is the Equation Linear or quadratic?

a)

Linear

b)

Quadratic

74.

What kind of function is this graph?

a)

Linear

b)

Quadratic

75.

What type of relationship shown in the table?

a)

Quadratic function

b)

Linear function

76.

This table represents what kind of function?

a)

Linear

b)

Quadratic

77.
Why did the mushroom go to the party?
a)
Because he liked the music.
b)
Because he had pizza.
c)
Because he was a fungi.
d)
Because his mom made him go.
78.
What is the solution to the system?
a)
(3, -1)
b)
(2, -6)
c)
No Solution 
d)
(6, -2)
79.

Select all the solutions for the graphed functions.

a)

(6, 5)

b)

(5, 0)

c)

(1, 0)

d)

(0, -1)

80.
Which point is a solution?
a)
(0, 6)
b)
(-3, 4)
c)
(1, 0)
d)
(-4, 3)