Answer
$a.\quad \mathbb{R}$
$b.\quad (0,3)$
$c.\quad $see image
$d.\quad [1,\infty)$
$e.\quad $Continuous
Work Step by Step
It's best to graph the function first.
Left of x=1, (excluding x=1)
the graph is the line $y=-2x+3$, containing points (0,3) and (-1,5)
Right of x=1 (including x=1)
the graph is the line $y=3x-2$, containing points (1,1) and (2,4)
Domain: whole set $\mathbb{R}$
Range : $[1,\infty)$
There are no x-intercepts.
The y intercept is at ($0,3$)
There are no breaks, holes or gaps in the graph - it is continuous.
