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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