1.7 Piecewise Functions Objective: Identify and graph piecewise functions including greatest integer, step, and absolute value functions.

Ex. 1) Graph 2 if x < -5 f(x) = x + 4 if -5<x<4 -½x if x>4 Piecewise function: A function in which different equations are used for different intervals of the domain. Ex. 1) Graph 2 if x < -5 f(x) = x + 4 if -5<x<4 -½x if x>4

A function whose graph is a series of disjoint lines or steps. Step function: A function whose graph is a series of disjoint lines or steps. A step function, written as f(x)=[x], where f(x) is the greatest integer NOT greater than x. “Floor Function” Greatest Integer Function: Ex.2) Graph f(x) = 3[x] What is the domain and range? http://www.youtube.com/watch?v=zl5QodAFuVk Absolute Value Function: A piecewise function written as f(x) = x where f(x) > 0 for all values of x. Looks like a V

See example 3 in book Graph f(x) = - 2 x + 3 Ex. 4)