Get out your Linear
Graphic Organizer and fill
it in using the slides
Take time to truly
understand the material
(Bottom of the fraction)
𝑥
𝑥
E
Q
U
A
T
I
O
N
L
I
N
E
A
R
E
Q
U
A
T
I
O
N
Which
is
linear?
Answer: y=3x-3
Why not the others?
y=𝑥 2 has an exponent other than one
3
y=
𝑥
has an exponent in the denominator
y= 𝑥 has absolute value symbols
L
I
N
E
A
R
E
Q
U
A
T
I
O
N
Which
is
linear?
Answer: y=1x-1
Why not the others?
y= 𝑥 has a square root symbol
y=2𝑥 has an exponent other than 1
y=𝑥 2 + 2 has an exponent other than 1
N
O
N
L
I
N
E
A
R
E
Q
U
A
T
I
O
N
𝟐
𝐱
𝟑
Which is
NONLINEAR?
Answer: y=𝑥 2
Why?
This equation contains an exponent other
than 1
N
O
N
L
I
N
E
A
R
E
Q
U
A
T
I
O
N
Which is
NONLINEAR?
Answer: y=3𝑥
Why?
This equation contains an exponent other
than 1
Graph
This graph
represents a
linear function
because it is a
straight line
Graphs
Linear
Non-linear
Non-linear
Ordered Pairs
Graph the ordered pairs to see if they
create a straight line.
Straight Line
Linear function
Not a straight line Non-linear function
Plot the ordered pairs on your graphic organizer
to see why the first set of ordered pairs is linear
and the second set is non-linear
Tables
Linear Functions have a constant
rate of change
T
A
B
L
E
Linear Function Table
Non-linear Function Table
Done?
Go to ixl (8th grade)
Do X.14 “Identify linear and nonlinear functions”-Get as high
of a score as you can
You can use the calculator
Use your graphic organizer to help you!!