# Evaluating Piecewise-Defined Functions Homework

**Ah, Calculus teachers love using piecewise functions! They stay home Saturday nights dreaming up new ones... just for you!**

**If you've loathed them before, no fear. I've got a simple way to keep all the pieces straight.**

**Let's just dive in and do one:**

**Each piece must live ONLY in its own neighborhood.**

**Let's put up a fence, so we don't make any mistakes:**

**Now, we just need to figure out who the fence owner is...**

Let's graph part | : |

## Presentation on theme: "2.2 day 3 The Piecewise Function"— Presentation transcript:

1 **2.2 day 3 The Piecewise Function**

Warm up:State the domain of each function.1.2.3.

2 **2.2 Day 3 The Piecewise Function**

After this section you should be able to:Evaluate a piecewise function.Determine the domain and range of a piecewise function.Graph a piecewise function.

3 **Piecewise Function – A function defined in pieces.**

4

5 **Piecewise Function – Domain and Range**

(-6,7)[-7, 7]Range -[-1,5)(-4.5,-1],[0, 4)

6 Domain -Range -Domain -Range -(-7, -1), (-1, 7][-1, 5), [6, 6](-7, 4), [5, 7)[-7, -5), (-2, 7)

7 Domain -Range -Domain -Range -[-1, 5][-5, 3]

8 **Graphing Piecewise Functions**

Domain -Range -

9 Domain -(-7, 7](-4, -2), [-1, 4]Range -

10 Domain -[-6, 7][-4, 2], (4, 7)Range -

11 **The Piecewise Function**

After this section you should be able to:Evaluate a piecewise function.Determine the domain and range of a piecewise function.Graph a piecewise function.Homework: Piecewise ws.

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