A radical function is any function of the form
$$ f(x) = \sqrt[n]{P(x)} $$
where $P(x)$ is a polynomial function of degree $1$ or higher. We will only consider the case where $P(x)$ is a polynomial of degree $1$, that is, $P(x)=mx+b$, $m\neq0$.
Intercepts
Use the following rules to determine the intercepts, or zeros, of a radical function $f(x)=\sqrt[n]{P(x)}$.
To determine the $x$-intercepts, set $f(x)=0$ and solve for $x$. This is equivalent to solving $P(x)=0$.
To determine the $y$-intercepts, set $x=0$ and solve for $y$. If $P(0)<0$, then the function $f(x)$ does not have a $y$-intercept.
Intercepts of radical functions.
Domain
Let $\displaystyle f(x) = \sqrt[n]{P(x)}$ be a radical function where $P(x)=mx+b$, $m\neq0$. To find the domain of $f(x)$ use the following rules:
If $n$ is odd, $f(x)$ has domain $(-\infty,\infty) = \left\{ x \mid x \in \mathbb{R}\right\}$.
If $n$ is even, solve the inequality $P(x) \geq 0$.