Answer
$a.\qquad $see image below
$b.\quad (-\infty,\infty)$
$c.\quad $Decreases on$ ( -\infty,-0.41)\cup(1,2.41)$
Increases on $( -0.41,1)\cup(2.41,\infty)$
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=1$
and local minimuma at $ x\approx -0.41$ and $2.41$
Decreases on$ ( -\infty,-0.41)\cup(1,2.41)$
Increases on $( -0.41,1)\cup(2.41,\infty)$
