Chapter 2.2, Problem 29AYU

In problems $25-30$, answer the questions about each function.

$f(x)=\frac{12x^4}{x^2+1}$

Is the point $(-1,6)$ on the graph of $f$?

If $x=3$, what is $f(x)$? What point is on the graph of $f?$

If $f(x)=1,$ what is x? What point(s) are on the graph of $f?$

What is the domain of $f?$

List the $x-$ intercepts, if any, of the graph of $f?$

List the $y-$ intercept, if there is one, of the graph of $f?$