What is the domain and range of y equals cubed square root of x?
The simplest answer is that the domain is all non-negative real
numbers and the range is the same.
However, it is possible to define the domain as all real numbers
and the range as the complex numbers.
Or both of them as the set of complex numbers.
Or the domain as perfect squares and the range as non-negative
perfect cubes.
Or domain = {4, pi} and range = {8, pi3/2}
Essentially, you can define the domain as you like and the
definition of the range will follow or, conversely, define the
range and the domain definition will follow,