1. PIECEWISE FUNCTIONS

2. General Properties of Piecewise
Consist of 2 or more functional parts with restricted domains that act as a single function.
Can consist of a variety of types of functions
ex: quadratic, linear, square root, etc
Must always pass the vertical line test

3. Example of a piecewise function

4. Example 1: Graph the piecewise function below
Example 1: Graph the piecewise function below. Find the domain, range and zeros.
Domain: (-∞,∞)
Range: (-∞,∞)
Zero: (2.5, 0)

5. Example 2: Graph the piecewise function below
Example 2: Graph the piecewise function below. Find the domain, range and zeros.
Domain: [-4,∞)
Range: (0,∞)
Zeros: none

6. Example 3: Graph the piecewise function below
Example 3: Graph the piecewise function below. Find the domain, range and zeros.

7. Example 4: Find an equation for the piecewise function shown below
Example 4: Find an equation for the piecewise function shown below. Then, find the domain, range and zeros.
Domain: (-∞,∞)
Range: [2,∞)
Zero: (-3, 0), (0,0)