Question

given f(x)={x^2….x<=-2
|x-1|….-2<x<=2
-5….x>2

find f(1) and simplify

give step by step and show work

Answer 1

To find f(1) using the given function f(x), we need to determine which piece of the function applies when x=1.

Since x=1 is between -2 and 2, we will use the middle piece of the function:

f(1) = |1-1| = |0| = 0

Therefore, f(1) = 0.