x$-4$Consider the function f$($x$)=$x$($x$-2)$a$.$Evaluate lim f$($x$)$and lim f$($x$),$ and then identify the horizontal asymptotes.

X$-0$oX$->-00$b$.$ Find the vertical asymptotes. For each vertical asymptote x$=$a$,$ evaluate lim f$($x$)$ and lim f$($x$)$

X$-$a

X$-$