Hi all,

The math homework is to "use the piecewise definition of the absolute value function to help you define f in pieces." I understand this part of the problem. My troubles are with the domain--I just don't know how to algebraically find the correct answer.

The absolute value function is:

y = -x [ abs(2-x) ] <- that's -x multiplied by abs(2-x)

--------------

(x-2)

I turned it into this piecewise function:

y = { x

{ -x

But I'm confused w/ the DOMAIN! The answer sheet says it's ( -infinity, -2 ) u (2, infinity) ???? how ???