Answer
$a.\qquad $see image below
$b.\quad (-\infty,\infty)$
$c.\quad $Decreases on$ ( -\infty,0)$
Increases on $( 0,\infty)$
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 minimum at $x=0$
Decreases on$ ( -\infty,0)$
Increases on $( 0,\infty)$
