Answer
$a.\qquad $see image below
$b.\quad (-\infty,\infty)$
$c.\quad $Decreases on$ ( -1.55,0.22)$
Increases on $( -\infty,-1.55)\cup(0.22,\infty)$
Work Step by Step
$a.$
(graphed with online graphic calculator at desmos.com)
$b.$
$f$ is defined for all reals, $(-\infty,\infty)$
$c.$
f has a local maximum at$ x\approx-1.55$
and a local minimum at $ x\approx 0.22.$
Decreases on$ ( -1.55,0.22)$
Increases on $( -\infty,-1.55)\cup(0.22,\infty)$
