Lesson 3.2 Topic/ Objective: Comparing linear and nonlinear functions. EQ: How can you tell if a function is linear or not? Linear Functions vs. Nonlinear.

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Lesson 3.2 Topic/ Objective: Comparing linear and nonlinear functions. EQ: How can you tell if a function is linear or not? Linear Functions vs. Nonlinear Functions. Constant rate of change. Not a constant rate of change. Graph is a line. (straight) Graph is not a line. Equation can be written Can’t be written in y =mx + b form In slope intercept form y =mx + b

Compare the two tables. Identify as linear or non linear. Constant changes: LINEARY is changing at non constant rate. Not Linear

A discrete domain is a set of input values that consists of only certain numbers in an interval Discrete and Continuous Domains: A continuous domain is a set of input values that consists of all numbers in an interval. Example: All numbers from 1 to 5 Example: Integers from 1 to 5

Not a line. Not LinearA Line. Linear y = 0x -2 or y = -2 Continuous Domain: All real #’s Range: All real #’s Continuous Domain: All real #’s Range: y = -2

Decide if the equation is Linear or not. If linear, write the equation by solving for y. Linear: y = 3x + 4 Linear: y = 4 Not Linear. No exponents Not Linear. X cant be denominator. Linear: y = 3x – 21