PIECEWISE FUNCTIONS. PIECEWISE FUNCTION Objectives: 1.Understand and evaluate Piecewise Functions 2.Graph Piecewise Functions 3.Graph Step Functions Vocabulary:

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Presentation transcript:

PIECEWISE FUNCTIONS

PIECEWISE FUNCTION Objectives: 1.Understand and evaluate Piecewise Functions 2.Graph Piecewise Functions 3.Graph Step Functions Vocabulary: Piecewise Functions, Step Functions

Up to now, we’ve been looking at functions represented by a single equation. In real life, however, functions may be represented by a combination of equations, each corresponding to a part of the domain. These are called piecewise functions. PIECEWISE FUNCTION

All piecewise functions start with:

PIECEWISE FUNCTION Since this one is in three parts, it will have three lines within f(x)

PIECEWISE FUNCTION This graph already tells us, the equation for each branch. The part we need to focus on is x = 2, where the graph splits.

EVALUATE F(X) WHEN X=0, X=2, X=4 First you have to figure out which equation to use. You NEVER use both! Then evaluate using that equation. Now graph your equation.

STEP FUNCTIONS Step Function: Type of Piecewise function. The output remains constant with in each branch and changes in value from one interval to the next.

STEP FUNCTIONS

GRAPH :

WORKBOOK PAGE 12 #1-14