AAT Dec 3-4

U3 L1-2Piecewise Functions

POP QUIZ!

TURN IN POW #12

U3L1 - MOREs

•p.181-186 •M5•O1•O2

Piecewise Functions

• A piecewise function is called piecewise because it acts differently on different “pieces” of the number line.

Absolute Value as Piecewise Function

• How would we write this as a piecewise function?

f(x) =

Example:

• g(x) = • What is:

g(-2)g(1)g(2)g(10)

Example

• g(x) = • Sketch a graph:

Example

• g(x) =

• Is g(x) a function? Why or why not?

One More…In Words:when x is less than 2, it gives x2,

when x is exactly 2 it gives 6

when x is more than 2 and less than or equal to 6 it gives the line 10-x

In mathematical notation:

In graph form:

Domain:Dom(f) = (-∞, 6] Or All Real #s up to and including 6( = doesn’t include that # (like an open circle)[ = includes that #, like a closed circle

OTL

• POW #13• Piecewise Functions Worksheet