$($a$)$ Find the vertical and horizontal asymptotes.

$($b$)$ Find the intervals of increase or decrease.

$($c$)$ Find the local maximum and minimum values.

$($d$)$ Find the intervals of concavity and the inflection points.

$($e$)$ Use the information from parts $($a$)-($d$)$ to sketch the graph of $f.$

$45.f(x)=\frac{x^2}{x^2-1}$

$46.f(x)=\frac{x^2}{(x-2{)}^2}$