Consider the function f$($x$)=$ x$2-9($a$)$ Find the domain off. $($Enter your answer using interval notation.$)($b$)$ Find the intervals on which f is increasing. $($Enter your answer as a comma$-$separated list of intervals.$)$ Find the intervals on which f is decreasing. $($Enter your answer as a comma$-$separated list of intervals.$)($c$)$ Find the open intervals on which fis concave up$.($Enter your answer as a comma$-$separated list of intervals.$)$ Find the open intervals on which fis concave down. $($Enter your answer as a comma$-$separated list of intervals.$)($d$)$ Find the vertical asymptotes of f$.$ smaller x$-$value larger x$-$value Find the left$-$ and right$-$handed limits as we approach a vertical asymptote. $---$Select$---$ As we approach the smaller x$-$value, the left$-$handed limit of fis $---$Select$--$and the right$-$handed limit is $---$Select$---$ and the right$-$handed limit is $---$Select$---$ C$.$ As we approach the larger x$-$value, the left$-$handed limit off $($e$)$ Find the horizontal asymptotes of f$.($Enter your answers as a comma$-$separated list of equations.$)($f$)$ Find the x$-$intercept. Consider the function $\backslash ($ f$($x$)=\backslash$frac$\{$x$^\{2\}\}\{$x$^\{2\}-9\}\backslash ).$

$($a$)$ Find the domain of $\backslash ($ f $\backslash ).($Enter your answer using interval notation.$)$

$($b$)$ Find the intervals on which $\backslash ($ f $\backslash )$ is increasing. $($Enter your answer as a comma$-$separated list of intervals.$)$

Find the intervals on which $\backslash ($ f $\backslash )$ is decreasing. $($Enter your answer as a comma$-$separated list of intervals.$)$

$($c$)$ Find the open intervals on which $\backslash ($ f $\backslash )$ is concave up$.($Enter your answer as a comma$-$separated list of intervals.$)$

Find the open intervals on which $\backslash ($ f $\backslash )$ is concave down. $($Enter your answer as a comma$-$separated list of intervals.$)$

$($d$)$ Find the vertical asymptotes of $\backslash ($ f $\backslash ).$

smaller $\backslash ($ x $\backslash )-$value $\backslash (\backslash$quad x$=\backslash )$

larger $\backslash ($ x $\backslash )-$value $\backslash (\backslash$quad x$=\backslash )$

Find the left$-$ and right$-$handed limits as we approach a vertical asymptote.

As we approach the smaller $\backslash ($ x $\backslash )-$value, the left$-$handed limit of $\backslash ($ f $\backslash )$ is $\backslash (\backslash$infty $\backslash )$ and the right$-$handed limit is limit is $\backslash (\backslash$infty $\backslash ).$

$($e$)$ Find the horizontal asymptotes of $\backslash ($ f $\backslash ).($Enter your answers as a comma$-$separated list of equations.$)$