maths
Math 227 HW 6
Fall 20 Due 10/1 Name:……………….
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SHOW YOUR WORK
[5] 1. Consider the function:
ππ(π₯π₯) = οΏ½
π₯π₯2 , π₯π₯ > 1
2 , β 1 < π₯π₯ β€ 1
π₯π₯ β 2 , π₯π₯ β€ β1
a) ππ(2) = ππ(1) = ππ(0) = ππ(β2) =
b) Sketch the graph of ππ.
c) Express the range of ππ(π₯π₯) in interval form.
[5] 2. Consider the function:
ππ(π₯π₯) = οΏ½
βπ₯π₯3 , π₯π₯ > 1
π₯π₯ , β1 < π₯π₯ β€ 1
ββπ₯π₯3 , π₯π₯ β€ β1
a) ππ(β8) = ππ(1) = ππ(0) = ππ(2) =
b) Sketch the graph of ππ.