Problem $3$: Consider

Write down

$($a$)$ The values of $\backslash ($ x $\backslash )$ for which $\backslash ($ f$($x$)>1\backslash ).$

$($b$)$ The net change in $\backslash ($ f $\backslash )$ between $\backslash ($ x$=-2\backslash )$ and $\backslash ($ x$=0\backslash ).$

$($c$)$ The interval$($s$)$ on which $\backslash ($ f $\backslash )$ is increasing.

$($d$)$ The interval$($s$)$ on which $\backslash ($ f $\backslash )$ is decreasing.

$($e$)$ What and where are the local maximum values of $\backslash ($ f $\backslash ).$

$($f$)$ What and where are the local minimum values of $\backslash ($ f $\backslash ).$