Question

How do you find the domain and range for `y= sqrt(x^3)`?

Answer 1

Your function is a squre root so it can accept, as argument, only positive values or zero.
The domain will then be all the real `x` such that `x>=0`.
The range represent the set of `y` values that your function can give as output. In this case are all `y>=0` (your square root cannot give a negative result).