# What is the domain and range of y=x^3?

Domain is $\left(- \infty , \infty\right)$, Range is $\left(- \infty , \infty\right)$,
Because every real number can be cubed to get a real answer, $x$ may be any real number, so the domain is all real numbers.
Because every real number is the cube of some real number (its cube root is real), $y$ takes on all real values, so the range is all real numbers.