Answer the questions about the following function.

$f(x)=4x^2-x-3$

$($a$)$ Is the point $(2,11)$ on the graph of f$?$

$($b$)$ If $x=-2,$ what is $f(x)?$ What point is on the graph of $f?$

$($c$)$ If $f(x)=-3,$ what is $x?$ What point$($s$)$ are on the graph

of $f?$

$($d$)$ What is the domain of f$?$

$($e$)$ List the $x-$intercept$($s$),$ if any, of the graph of $f.$

$($f$)$ List the $y-$intercept, if there is one, of the graph of $f.$