# How do you find the domain and range of piecewise function y={sqrt(-x) for -4<=x<=0 and sqrtx for 0<=x<=4?

Apr 20, 2015

The domain is allready defined by the question $- 4 \le x \le + 4$

The range is what values the function can go to:
If $x = - 4 \to y = \sqrt{- \left(- 4\right)} = \sqrt{4} = 2$
And for positive $x$'s it's the same limit.

Actually the description looks like an absolute function:

$y = \sqrt{| x |}$ for the range $- 4 \le x \le + 4$
graph{sqrt(|x| [-5.546, 5.55, -2.773, 2.774]}