AAT Dec 3-4 U3 L1-2 Piecewise Functions

POP QUIZ! TURN IN POW #12

U3L1 - MOREs p 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?

Example:

Example

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