maths

Math 227 HW 6 Fall 20 Due 10/1 Name:................... ----------------------------------------------------------------------------------------- SHOW YOUR WORK [5] 1. Consider the function:

𝑓𝑓(𝑥𝑥) = � 𝑥𝑥2 , 𝑥𝑥 > 1 2 , − 1 < 𝑥𝑥 ≤ 1 𝑥𝑥 − 2 , 𝑥𝑥 ≤ −1

a) 𝑓𝑓(2) = 𝑓𝑓(1) = 𝑓𝑓(0) = 𝑓𝑓(−2) =

b) Sketch the graph of 𝑓𝑓. c) Express the range of 𝑓𝑓(𝑥𝑥) in interval form.

[5] 2. Consider the function:

𝑓𝑓(𝑥𝑥) = � −𝑥𝑥3 , 𝑥𝑥 > 1 𝑥𝑥 , −1 < 𝑥𝑥 ≤ 1

−√𝑥𝑥3 , 𝑥𝑥 ≤ −1

a) 𝑓𝑓(−8) = 𝑓𝑓(1) = 𝑓𝑓(0) = 𝑓𝑓(2) =

b) Sketch the graph of 𝑓𝑓.