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Worksheets

Comparing Functions

Total questions: 35

Worksheet time: 2hrs 41mins

Name
Class
Date
1.
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
2.
Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation for the total cost of x pounds of fruit from the orchard.
a)
y = 3x + 2.5
b)
y = 2.50x + 3
c)
y = 2.50x 
d)
y = 3x + 2.50
3.
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
4.
Which tree was the tallest when it was first planted?
a)
Tree A
b)
Tree B
c)
Tree C
5.

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

a)

$25

b)

$150

c)

$15

d)

$50

6.

Which company's set up fee is higher and how much is it?

a)

Homework Lifeline as $ 5

b)

Homework Lifeline as $25

c)

Homework Lifeline as $10

d)

Homework SOS as $10

7.

Which kitten was fatter when it was born?

a)

A

b)

B

8.

Which kitten grows fastest? What is it's 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

9.
Which equation matches the table?
a)
y = x 
b)
y = 5x
c)
y = x - 4
d)
y = x + 4
10.
Which equation represents the following graph?
a)
y = 3x + 2
b)
y = -2x + 3
c)
y = 2x + 3
d)
y = -3x + 2
11.
Which is the graph of y=-x+2?
a)
A
b)
B
c)
C
d)
D
12.

Which of the following is NOT a function?

a)
b)
c)
d)
13.
Is this is a function or not a function?
a)
Function
b)
Not a Function
14.

What is the definition of a function?

a)

Has inputs and outputs

b)

Inputs have different outputs every time

c)

x-values and

y-values

d)

Every input has only one output

15.

Which set of ordered pairs is a function?

a)

{(9,5), (10,5), (9,-5), (10,-5)}

b)

{(3,4), (4,-3), (7,4), (3, 8)}

c)

{(6,-5), (7, -3), (8, -1), (9, 1)}

d)

{(2, -2), (5, 9), (5, -7), (1, 4)}

16.
Is the relation a function? Why.
a)
Yes, because the x-value 11 has two y-values pair with it.
b)
Yes, because each x-value has only one y-value paired with it.
c)
No, because the x-value 11 has two y-values pair with it.
d)
No, because each x-value has only one y-value paired with it.
17.

Which of the following is a function?

a)
b)
c)
d)
18.

Is the following graph a function?

a)

Yes, because the x never repeats.

b)

Yes, because they are individual dots.

c)

No, because the x repeats.

d)

No, because it is not a line.

19.
What happened during O to A point?
a)
not moving
b)
constant speed
c)
accelerating
d)
decelerating
20.
What happened during C to D point?
a)
not moving
b)
increasing speed at a constant rate
c)
moving at a constant speed
d)
moving at 0 m/s2 acceleration
21.

Is the function represented by this table linear or nonlinear?

a)

Linear

b)

Nonlinear

22.

Is the function represented by this graph linear or nonlinear?

a)

Linear

b)

Nonlinear

23.

Does this table represent a linear or nonlinear function?

a)

Linear

b)

Nonlinear

24.

The table shows the cost (y) in relation to the number of pounds (x) of bird seed. What is the missing y value that would make this a linear function?

a)

2.80

b)

1.40

c)

4.20

d)

3.90

25.

Is this relation a function?

a)

Yes, it is a function.

b)

No, it is not a function.

26.

Is this relation a function?

a)

Yes, it is a function.

b)

No, it is not a function.

27.
Which graph is NOT a function?
a)
Graph 1
b)
Graph 2
c)
Graph 3
d)
Graph 4
28.
Which of these tables represent a function?
a)
A
b)
B
c)
C
d)
D
29.

Is the graph below a function? Why or why not?

a)

It is a function, because no vertical lines hit it twice.

b)

It's not a function, because a vertical line hits it twice.

c)

It's not a function, because no vertical lines hit it twice.

d)

It is a function, because a vertical line hits it twice.

30.

Is the graph a function? Why or why not?

a)

It is a function, because no vertical lines hit it twice.

b)

It's not a function, because a vertical line hits it twice.

c)

It's not a function, because no vertical lines hit it twice.

d)

It is a function, because a vertical line hits it twice.

31.

Is this a function? Why or why not?

a)

It is a function, because each x has only one y.

b)

It's not a function, because an x has multiple y's.

c)

It's not a function, because a y has multiple x's.

d)

It is a function, because each y has only one x.

32.

Who saves more per day: Adam or Bianca?

a)

They save the same amount.

b)

Adam

c)

Bianca

33.

What does the slope represent in this situation?

a)

The sloth runs 1 feet in 3 minutes.

b)

The sloth runs 3 feet in 1 minute.

c)

The sloth runs fast.

d)

The sloth runs 6 feet in 1 minute.

34.
A function is a set of ordered pairs where each y value has an unique x value.
Which relation is NOT a function:
a)
(0, 1), (2, 3), (4, 5), (6, 7)
b)
(0, 0), (1, 1), (2, 2), (3, 3)
c)
(1, 2), (1, 3), (1, 4), (1, 5)
d)
(1, 1), (2, 1), (3, 1), (4, 1)
35.

Which statement best describes the y-intercept of the graph?

a)

The initial water level was 14 feet.

b)

The initial water level was 16 feet.

c)

After 8 days, the water level was 18 feet.

d)

The water level stops at 14.