1. Piecewise Graphs
Lesson 7.4
Page 100

2. Review
Let’s graph 𝑦=2𝑥+1
Also graph 𝑦=6𝑥

3. Review
Graph 𝑦= 𝑥 2 +3
Also graph 𝑦=− 𝑥 2 +2

4. Piecewise Functions
A PIECEWISE FUNCTION is defined as a function that uses different rules for different parts of its domain.
To graph a piecewise function
Graph each part on same graph but only on the specified domain

5. Review
Remember when graphing inequalities?

6. Piecewise Graphs

7. Piecewise Functions

8. Example (Not in book)
Graph: 𝑓 𝑥 = 3𝑥−2, 𝑥≤−1 𝑥 2 +1, 𝑥≻1

9. Example (Not in book):
Graph: 𝑓 𝑥 = 3𝑥, 𝑥<0 5, 𝑥=0 −3, 𝑥>0

10. Example 3 (page 102)
Graph: 𝑦= 2, 𝑖𝑓 0≤𝑥<4 𝑥 2 −14, 𝑖𝑓 𝑥≥4

11. Example 2 (page 102)
Graph: 𝑦= 48𝑠, 𝑖𝑓 0≤𝑠≤1 40𝑠+8, 𝑖𝑓 1<𝑠<2

12. Assignment WB: Page 105 #’s 1 – 5
RB: Page U2 – 151 #’s 1, 2, 3, 5, & 6