1. Comparing Functions and Identifying Linear and Non-linear Functions

2. Warm Up
Identify the slope in the following:

3. Objective
The student will be able to differentiate between linear and non-linear functions.

4. Exploration
Pages

5. Linear vs. Non-linear Functions
Linear functions increase or decrease at a constant rate called the common difference:
The common difference is 3… The y values are increasing by 3. x y 1 2 5 3 8

6. Continued…
Non-linear functions increase or decrease by by a common ratio
What you multiply the previous term by to get the current term.
The common ratio of the table is 3. x y 1 2 3 9 4 27 5 81

7. With a Partner…
Determine which function represents a non-linear function: x y 1 5 2 10 3 20

8. Try With a Partner
Identify which function represents a linear function:

9. On Your Own Determine which of the following is a non-linear function:x y 1 5 2 25 3
125

10. Graphs of Linear and Non-Linear Functions
Graphs are nice straight lines,
Non-Linear Functions:
Points do not line on a straight line.

11. Graphs
Linear
Non-Linear

12. Try with a Partner:
Determine which represents a linear function:

13. On Your Own:
Determine which function represents non-linear function:

14. Exit Ticket and Homework
Does this represent a linear or non- linear function?
Homework:
Worksheet x y 1 2 3 4