PIECEWISE FUNCTIONS. What You Should Learn: ① I can graph any piecewise function. ① I can evaluate piecewise functions from multiple representations.

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Presentation transcript:

PIECEWISE FUNCTIONS

What You Should Learn: ① I can graph any piecewise function. ① I can evaluate piecewise functions from multiple representations. ① I can distinguish between inclusive and exclusive points. ① I can write a piecewise function from multiple representations.

Graphing & Evaluating Piecewise Functions – Day 1 Today’s objective: ① I can graph any piecewise function. ① I can evaluate piecewise functions from multiple representations. ① I can distinguish between inclusive and exclusive points.

Definition of Piecewise Root word is Piece.

Piecewise Functions: Graphically Piecewise Functions are Pieces of different functions graphed together on the same coordinate plane. Each of these Pieces is defined on a different domain. (x intervals) Graphs are not continuous.

Examples of Piecewise Functions: Graphically

Piecewise Functions: Algebraically When functions are defined by more than one equation, they are called piece-wise defined functions. Each equation is a different Piece.

Examples of Piecewise Functions: Graphically

For the following function a) Find f(-1), f(1), f(3). b) Find the domain. c) Sketch the graph.

For the following function a)f(-1) = = 2 f(1) = 3 f(3) = = 0.

b) Find the domain. Domain of f(x): [-2, ∞)

c) Graph

Example 2: Graph

Example 3: Graph