For the function: f (x) = { x 2 , x gt; 0 { -x 2 , x lt; 0 a. ) Find the domain and range and state the answer in Interval Notation b.

{ -x2, x < 0

a. ) Find the domain and range and state the answer in Interval Notation

b. ) Find the mathematical formula for f (x) WITHOUT the use of the Heaviside function

If you could give basic explanations for each step, so I can practice and see how you got the answer, that would be greatly appreciated!