# How do you find the domain and range for y=x^3-x?

There are no restrictions on either $x$ or $y$
the the domain would be $\left(- \infty , \infty\right)$
the domain is all the values $x$ can take.
and the range will be $\left(- \infty , \infty\right)$
the range is all the values $y$ can take.