

Linear vs. NonLinear and Is it a Function
Presentation
•
Mathematics
•
8th Grade
•
Medium
Standards-aligned
Used 15+ times
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14 Slides • 12 Questions
1
Linear vs. Non Linear and Is it a Function

2
What does it mean to be linear?
If the points create a straight line then the graph is linear
if the points create a constant rate of change it is linear
3
Do the points lie on a straight line?
Two ways you can determine....
graph the points on graph paper and see if there is a
see if there is a constant rate of change
4
Let's graph!
5
Are the three points on the same line
(0,0) (8, 0) (4, 8)
6
Are the three points on the same line?
(0,2) (2,6) (3, 8)
7
Multiple Choice
Is this function linear or nonlinear?
linear function
nonlinear function
8
Multiple Choice
Is this function linear or nonlinear?
linear function
nonlinear function
9
You can also determine if points are linear by determining if there is a constant rate of change
We are looking at the ratio of change y over change in x
10
11
12
Multiple Choice
Is this function linear or nonlinear?
linear function
nonlinear function
13
Multiple Choice
Is this function linear or nonlinear?
linear function
nonlinear function
14
You can determine which method you want to use to answer the question
by graphing it
by looking at the rate of change
15
Multiple Choice
EOG Question
You may graph it OR use the rate of change
A
B
C
D
16
Multiple Choice
EOG Question
You may graph it or determine if the rate is constant
A
B
C
D
17
How can you tell it is linear by looking at an equation....
18
To be linear
x can not be on the bottom
x can not have an exponent
x and y can not be together(xy)
only two variables
19
Multiple Choice
Is this function linear or nonlinear?
Linear function
Nonlinear function
20
Multiple Choice
Is this function linear or nonlinear?
Linear function
Nonlinear function
21
Multiple Select
Which equations represent nonlinear functions? Select all that apply.
y= 3x-4
y=9x2+7x
y=x
y=2x3
y=2x2+4
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Multiple Choice
EOG Question
A
B
C
D
23
Is it a function?
for every x there is only one y
Remember, the coke machine examples
If the points are not in a table then put them in one if you need to
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25
Multiple Choice
EOG Question
A
B
C
D
26
Multiple Choice
EOG Question
A
B
C
D
Linear vs. Non Linear and Is it a Function

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