1. 1.7 Piecewise Functions
Objective: Identify and graph piecewise functions including greatest integer, step, and absolute value functions.

3. 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

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?
Absolute
Value Function:
A piecewise function written as f(x) = x
where f(x) > 0 for all values of x.
Looks like a V

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