What is the domain and range for cube root function?

Question

1. If there are no restrictions mentioned, what is the domain for cube root functions?
2. If there are no restrictions mentioned, what is the range for cube root functions?

Answer 1

The domain of function f defined by f(x) = ∛x is the set of all real numbers.

The range of f is the set of all real numbers.

Be sure to consider the case when UNITS are given, for example, "What is the side length of a cube that has a volume of 64 cubic centimeters?" Here, negative values do not make sense.