given f(x)={x^2….x<=-2

Question

|x-1|….-2<x<=2
-5….x>2

find f(-2) and simplify

give step by step and show work

Answer 1

Given the piecewise function f(x) = {x^2 if x <= -2, |x-1| if -2 < x <= 2, -5 if x > 2}, we are asked to find f(-2).

Since -2 is between -2 and 2, we will use the second part of the function, f(x) = |x-1|.
f(-2) = |-2 - 1|
f(-2) = |-3|
f(-2) = 3

Therefore, f(-2) = 3.