Piecewise Functions Objective: Students will understand what a piecewise function is and how to sketch and interpret the graph.

Piecewise Function A function made up of 2 or more different graphs Inequalities will tell you what part of the graph you need Based on the transformations of the parent function and then look to see what part of the function you use Different rules for different parts of the domain

Intervals An inequality representing a specific part of a function Interval a graph increase Interval a graph decrease Interval a graph is constant What inequality would represent this for a graph, do you include the points or not, think left to right and include the point unless there is an open circle there

Graphing Example

Evaluating Which equation do you use, depends on x and the inequality f(-2)=2(-2)+3=-1 f(3)=1/3(3)-2=-1

More examples as needed

Homework Worksheet on evaluating and graphing Discuss reteach in class 1-6