Answer
The graph is that of a function.
$\mathrm{a}$.
Domain: $\{x|x\geq-3\}$ or $[-3,+\infty)$.
Range: $\{y|y\geq 0\}$ or $[0,+\infty)$.
$\mathrm{b}$.
Intercepts: $(-3,0), (2,0), (0,2)$
$\mathrm{c}$.
No symmetry.
Work Step by Step
The graph passes the vertical line test
(any vertical line intersects the graph in at most one point.)
The graph is that of a function.
$a.$
The points on the graph have x-coordinates
from $-3$ (included) onwards (unbounded).
Domain: $\{x|x\geq-3\}$ or $[-3,+\infty)$.
The y coordinates are from 0 (included) upwards (unbounded).
Range: $\{y|y\geq 0\}$ or $[0,+\infty)$.
$b.$
The points on the graph that belong to the axes:
x-intercepts: $(-3,0), (2,0),$
y-intercept: $(0,2)$
$c.$
No symmetry.