## Precalculus (6th Edition)

The given relation defines $y$ as a function of $x$. domain: $(-\infty, +\infty)$ range: $(-\infty, +\infty)$
Note that for every value of $x$, the equation $y=x^3$ gives only one value of $y$. This means that every $x$ is paired with only one value of $y$. Thus, the given relation defines $y$ as a function of $x$. The value of $x$ can be any real number so the domain is $(-\infty, +\infty)$. The value of $x^3$ can be any real number. Thus, the range is $(-\infty, +\infty)$ .