1. 2.7 Piecewise Functions
Algebra 2

2. Definitions
Piecewise Functions: Functions represented by a combination of equations, each corresponding to a part of the domain
Step Function: a graph that resembles a set of stairs.

3. Example Evaluate f(x) when (a) x = 0, (b) x = 3, (c) x = 6
𝑓 𝑥 = 3𝑥+2 if 𝑥≤3 𝑥− if 𝑥>3

4. Example
Graph the function: 𝑓 𝑥 = 𝑥 if 𝑥>2 −𝑥− if 𝑥≤2

5. Example
Graph the function: 𝑓 𝑥 = 1, 𝑖𝑓 −4≤𝑥<−3 2, 𝑖𝑓 −3≤𝑥<−2 3, 𝑖𝑓 −2≤𝑥<−1 4, 𝑖𝑓 −1≤𝑥<0

6. Examples
Pg. 118, #36 and 38