PIECEWISE FUNCTIONS.

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Presentation transcript:

PIECEWISE FUNCTIONS

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

Example of a piecewise function

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)

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

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

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)