# Linear Vs. Non-Linear Functions

```Linear Vs. Non-Linear
Functions
We are learning to model functions as tables,
graphs and equations (rules).
Thursday, March 24, 2016
y  4x  3
x
0
1
2
y  x 2  10
3
4
x
y
0-3
4-3
-3 +4 1 +4
8-3
5 +4
12-3
9 +4
1
3
2
16-3
Solve
for y
13
y
0-10
1-10
4-10
9-10 16-10
-10 +1 -9 +3 -6 +5 -1 +7 6
Label one
graph
“linear” and
the other
“non-linear”
“LINEAR”
4
02-10 12-10 22-10 32-10 42-10
4(0)-3 4(1)-3 4(2)-3 4(3)-3 4(4)-3
Solve
for y
0
“NON-LINEAR”
With your team brainstorm characteristics of graphs,
tables, and equations for both linear and non-linear
functions.
Characteristics of Linear
Functions
Graph
Table
Equation
Characteristics of Non-Linear
Functions
Group Practice

With your group identify the representations (table
and equation) for the functions and identify each as
either “linear” or “non-linear.”


Be sure to provide proof in complete sentences.
Then explain in complete sentences what it means
for a function to be linear. Next explain what it
means for a function to be non-linear.

Demonstrate your reasoning in more than one way.
```