Piecewise Graphs Lesson 7.4 Page 100

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

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

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

Review Remember when graphing inequalities?

Piecewise Graphs

Piecewise Functions

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

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

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

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

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