Question

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

Answer 1

The domain is allready defined by the question `-4<=x<=+4`

The range is what values the function can go to:
If `x=-4->y=sqrt(-(-4))=sqrt4=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<=x<=+4`
graph{sqrt(|x| [-5.546, 5.55, -2.773, 2.774]}