1. PIECEWISE FUNCTIONS

2. 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.

3. 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.

4. Definition of Piecewise Root word is Piece.

5. 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.

6. Examples of Piecewise Functions: Graphically

7. 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.

8. Examples of Piecewise Functions: Graphically

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

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

11. b) Find the domain. Domain of f(x): [-2, ∞) -2 0 1

12. c) Graph

14. Example 2: Graph

15. Example 3: Graph