2.5 Linear Equations and Formulas:

4.3 Patterns and Non-Linear Functions:Nonlinear: Is a function whose graph is not a line or part of a line.Family of Functions: is a group of functions with common characteristics. Parent Function: is the simplest function of a family of functions. GOAL:

One of the ways to classify a function is to see a visual representation of it. 1. Linear : Graph is nonvertical line or part of a nonveritcal line2. Nonlinear Function: Graph whose part is not a line or part of a line.

A graph would show the functions characteristics and would provide us with info to classify it as:1. Linear : Graph is nonvertical line or part of a nonveritcal line

Insert Parent GraphsPage 246

Linear Parent Functions:

y = ny = mx + by = -mx + bx = n

2. Nonlinear Function: Graph whose part is not a line or part of a line.

Nonlinear Parent Functions:y = x2y = x3y = | x |

Nonlinear Parent Functions:y = ax if a> 1

y = ax 0