Comparing Functions and Identifying Linear and Non-linear Functions

Warm Up Identify the slope in the following:

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

Exploration Pages 355-357

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

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

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

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

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

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

Graphs Linear Non-Linear

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

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

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