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