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Linear vs Nonlinear

Total questions: 62

Worksheet time: 3hrs 35mins

Name
Class
Date
1.

Is this graph a function?

a)

Function

b)

Not a Function

2.

Is the graph pictured a function?

a)

Yes

b)

No

3.

Is the graph pictured a linear or nonlinear function?

a)

Linear

b)

Nonlinear

4.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

5.

Which graph is linear?

a)

Graph A

b)

Graph B

c)

Graph C

d)

Graph D

6.
a)

This is the graph of a linear equation

b)

This is the graph of a non linear equation

7.
a)

Linear

b)

Non Linear

8.
Which graph(s) show nonlinear functions?
a)
Graph I, only
b)
Graph II, only
c)
Graph I and Graph II, only.
d)
Graph I, Graph II, and Graph III
9.

Is this function linear or nonlinear?

a)

Linear

b)

Nonlinear

10.

Is this function linear or nonlinear?

a)

linear function

b)

nonlinear function

11.

Why is this function linear?

a)

This is a linear function because it does not have a constant rate of change

b)

This is a linear function because it creates a curved line.

c)

This is a linear function because it has a constant rate of change.

d)

This is a linear function because it's y-intercept is (0,2)

12.

Is this function linear or nonlinear? (Hint: Look at the exponent!!)

a)

Linear function

b)

Nonlinear function

13.

Is this function linear or nonlinear? (Hint: Look at the exponent!!)

a)

Linear function

b)

Nonlinear function

14.

Which mapping diagram is not a function?

a)
b)
c)
d)
15.

Identify all of the functions

a)
b)
c)
d)
e)
16.

Which is the set of all y-values or the outputs?

a)

Domain

b)

Range

c)

Relation

d)

Function

17.

What is the range?

a)

{-3, -1, 2, 4}

b)

{0, 4, 7}

c)

{0, 4, 4, 7}

d)

{7, 4, 0}

18.
What is the domain?
a)
{-2, -1, 0, 1, 8}
b)
{3, 5, 7 , 9, 0}
c)
{-2, -1, 0, 1, 3, 5, 7, 8, 9}
d)
{-2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
19.

What is the domain of a relation?

a)

the set of all x-values

b)

the set of all y-values

20.

What is the domain of the relation shown in the table?

a)

{12}

b)

{6, 18}

c)

{3, 9, 15, 16}

d)

{13}

21.
What is the domain?
a)
{-2, -1, 0, 1, 8}
b)
{3, 5, 7 , 9, 0}
c)
{-2, -1, 0, 1, 3, 5, 7, 8, 9}
d)
{-2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9}
22.

Is the relation shown a function?

a)

No, because the x-value 11 is paired with 5 and 8.

b)

Yes, because each x-value has only one y-value paired with it.

23.
What is the slope in the equation:  y=4x+3
a)
3
b)
4x
c)
4
d)
x
24.
What is the y-intercept in the following equation:  y=-4x-5
a)
-4
b)
-4x
c)
5
d)
-5
25.
Write the equation of the line.
a)
y= -1x-3
b)
y= -3x-1
c)
y=-1/3x-1
d)
y= -3x-3
26.
Find the slope from the table.
a)
-4
b)
1
c)
4
d)
-2
27.

Which value is the slope in the equation:

y= 4x + 2

a)

4

b)

2

c)

x

28.

Which value is the y-intercept in the equation:

y= 2x -2

a)

2

b)

-2

c)

1

29.
Write the equation of the line.
a)
y = -1/3x - 2
b)
y = 1/3x - 2
c)
y = 3x - 2
d)
y = -3x - 2
30.
Which equation matches the table?
a)
y = x + 5
b)
y = 5x
c)
y = x - 5
d)
x = y - 5
31.

Given the two points: (0, 6) and (6,18), write the equation of the line.

a)

y = 2x + 6

b)

y = 1/2x + 6

c)

y = 1/3x + 6

d)

y = 3x + 6

32.

Why do we want to think of slope as a fraction?

a)

rise/run

b)

run/rise

c)

Fractions make things better

33.

Does this graph represent a linear or nonlinear relationship?

a)

Linear

b)

Nonlinear

34.

Does this graph represent a linear or nonlinear relationship?

a)

Linear

b)

Nonlinear

35.
Which graph is linear?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
36.

Does this graph represent a linear or nonlinear relationship?

a)

Linear

b)

Nonlinear

37.

Does this graph represent a linear or nonlinear relationship?

a)

Linear

b)

Nonlinear

38.

Which statement is true?

a)

Both Graphs have multiple y intercepts

b)

Both graphs are not functions

c)

The first graph is linear because it has a constant rate of change.

d)

The second graph is nonlinear but has a constant rate of change.

39.

What type of graph makes a straight line and can be written as y=mx+b or y=mx?

a)

Nonlinear

b)

Linear

40.

Which of the following are nonlinear?

a)
b)
c)
d)
41.
Why is this function linear?
a)
This is a linear function because it is going up
b)
This is a linear function because it is a straight line.
c)
This is a linear function because the line is curved.
d)
This is a linear function because it keeps going.
42.
Why is this function nonlinear?
a)
This is a nonlinear function because it is vertical
b)
This is a nonlinear function because it is a straight line.
c)
This is a nonlinear function because it goes up and down.
d)
This is a nonlinear function because it is curved.
43.

Does this graph represent a linear or nonlinear relationship?

a)

Linear

b)

Nonlinear

44.

Does this graph represent a linear or nonlinear relationship?

a)

Linear

b)

Nonlinear

45.
Which graph is linear?
a)
Graph A
b)
Graph B
c)
Graph C
d)
Graph D
46.

Does this graph represent a linear or nonlinear relationship?

a)

Linear

b)

Nonlinear

47.

Does this graph represent a linear or nonlinear relationship?

a)

Linear

b)

Nonlinear

48.

Which statement is true?

a)

Both Graphs have multiple y intercepts

b)

Both graphs are not functions

c)

The first graph is linear because it has a constant rate of change.

d)

The second graph is nonlinear but has a constant rate of change.

49.

What type of graph makes a straight line and can be written as y=mx+b or y=mx?

a)

Nonlinear

b)

Linear

50.

Which of the following are nonlinear?

a)
b)
c)
d)
51.
Why is this function linear?
a)
This is a linear function because it is going up
b)
This is a linear function because it is a straight line.
c)
This is a linear function because the line is curved.
d)
This is a linear function because it keeps going.
52.
Why is this function nonlinear?
a)
This is a nonlinear function because it is vertical
b)
This is a nonlinear function because it is a straight line.
c)
This is a nonlinear function because it goes up and down.
d)
This is a nonlinear function because it is curved.
53.

Is the function represented by the table linear or nonlinear?

a)

Linear

b)

Nonlinear

54.

Is the function represented by the table linear or nonlinear?

a)

linear

b)

nonlinear

55.

Why is this function linear?

a)

This is a linear function because it does not have a constant rate of change

b)

This is a linear function because it creates a curved line.

c)

This is a linear function because it have a constant rate of change.

d)

This is a linear function because it's y-intercept is (0,2)

56.
Is this function linear or nonlinear?
a)
Linear
b)
Nonlinear
57.
Is the graph pictured a linear or nonlinear function?
a)
Linear
b)
Nonlinear
58.
Is the table linear or nonlinear?
a)
Linear
b)
Nonlinear
59.
a)
Function
b)
Not a Function
60.
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.
61.
Is this table a function and how can you tell?
a)
Yes its a function because there are not variables for missing numbers
b)
No it's not a function because the y value 4 repeated
c)
No it isn't a function because the x value 2 is repeated
d)
No it's not a function because the x value 5 has y values of  10 & 12
62.
a)
Function
b)
Not a Function

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