3.3 Piecewise Functions NAME:__________________________  PIECE in middle! DATE:_______

Use the piecewise function to evaluate the following. 1.

𝑓 𝑥 =

2𝑥 − 1 + 2,                                𝑥 ≤ −2𝑥! + 3𝑥 − 2,             − 2 < 𝑥 ≤ 12

𝑥 + 3,                                                                𝑥 > 1

𝑎.    𝑓 4 = c. 𝑓 −2 =

b. 𝑓 −6 = d. 𝑓 1 =

Use the piecewise function to evaluate the following. Graph the following piecewise functions. 2.

a.    𝑓 2 = b. 𝑓 −3 = c. 𝑓 −2 = d. 𝑓 1 =

3.

𝑓 𝑥 =23𝑥 + 5,                𝑥 ≤ 0

6 − 2𝑥,                𝑥 > 0

Mastery 3