

Linear vs Nonlinear Functions
Presentation
•
Mathematics
•
8th - 9th Grade
•
Hard
Joseph Anderson
FREE Resource
7 Slides • 31 Questions
1
Linear vs Non-Linear Functions
​

2
Linear vs. Non-Linear Functions
A linear function shows a constant rate of change.
A nonlinear function does not have a constant rate of change.
3
From a Graph
When graphed, a linear function forms a single straight line.
When graphed, a non-linear function does NOT form a single straight line.
4
Multiple Choice
This is the graph of a linear equation
This is the graph of a non linear equation
5
Multiple Choice
Which graph is linear?
Graph A
Graph B
Graph C
Graph D
6
Multiple Choice
Is this graph linear or nonlinear?
Linear
Non-Linear
7
Multiple Choice
Is the graph pictured a linear or nonlinear function?
Linear
Nonlinear
8
From an Equation
Can be written in the form y = mx + b (m & b are numbers)
Can be written in the form y = mx (m is a number)
Can be written in the form y = b (b is a number)
9
The equations of linear functions cannot have:
10
Multiple Choice
11
Multiple Choice
Linear
Nonlinear
12
Multiple Choice
Is this function linear or nonlinear?
Linear function
Nonlinear function
13
Multiple Choice
Is this function linear or nonlinear?
y=3x+4
Linear
Nonlinear
14
Multiple Choice
Is this function linear or nonlinear?
y=x2+3x +4
Linear
Nonlinear
15
Multiple Choice
Is this function linear or nonlinear?
xy=7
linear
nonlinear
16
Multiple Select
Is this relation linear or nonlinear?
x=−7
Linear
Nonlinear
17
Multiple Select
Is this a linear function?
x=−7
Linear
Nonlinear
18
Multiple Choice
19
Multiple Choice
Is this function linear or nonlinear?
y=x
Linear
Nonlinear
20
Multiple Choice
21
Multiple Choice
22
Multiple Choice
23
From a Table
A linear function has a constant rate of change That means that the ratio of the change in y to the change in x is constant (the same).
24
ratio of ΔxΔy must be the same
25
Multiple Choice
Is this function linear or nonlinear?
Linear
Nonlinear
26
Multiple Choice
Why is this function linear?
This is a linear function because it does not have a constant rate of change
This is a linear function because it creates a curved line.
This is a linear function because it have a constant rate of change.
This is a linear function because it's y-intercept is (0,2)
27
Multiple Choice
Is this function linear?
YES
NO
28
Multiple Choice
Is this linear or nonlinear?
Linear
Nonlinear
29
Multiple Choice
Is this function linear or nonlinear?
Linear
Nonlinear
30
Fill in the Blanks
31
Multiple Choice
32
Multiple Choice
33
Multiple Choice
Which equation represents y as a linear function of x?
y=8x
x=5
y=4x2
y=x3
34
Multiple Choice
Is this function linear or nonlinear?
Linear
Nonlinear
35
Multiple Select
Which show a linear function? Select 2.
36
Multiple Choice
37
Multiple Choice
38
Multiple Select
Which of these functions are linear?
Select two answers.
y = 3 − x2
y=x
y = x3 + 3
Linear vs Non-Linear Functions
​

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