1. How do you determine if a function is linear or non linear
Linear vs Non Linear
How do you determine if a function is linear or non linear

2. Linear Function

3. Non Linear Function

4. How do you tell when you get a set of data pointsx y 2 7 4 14 6 21 8 28

5. Linear
For it to be linear, the rate of change needs to be the same on all sets of point
Change in y over the Change in x, will not differ
For it to be linear, you cannot have x raised to any power

6. The x’s are increasing by 2’s
The y’s are increasing by 7
As long as they are all the same increase, it is linear

7. Linear or Non Linear x y -2 -1 1 3 5

8. Linear or Non Linear x y 1 -5 2 -7 3
-21

9. Linear or Non Linear x y 5
-15 8
-11 11 -7 14 -3

10. Linear or Non Linear x y 1 2 4 3 8

11. Linear Vs Nonlinear All linear functions can be written in
Y = mx + b format
Is y = 2x2 + 5 a linear function