Answer
(a) $\{x|x\ge-3\}$.
(b) $(-\frac{5}{2},0)$, $(0,-3)$.
(c) See graph.
(d) $\{y|y\lt5\}$
(e) not continuous
Work Step by Step
(a) Based on the given piece-wise function, we can find the domain as $\{x|x\ge-3\}$.
(b) We can locate the x-intercept(s) (let y=0) as $(-\frac{5}{2},0)$, y-intercept(s) (let x=0) as $(0,-3)$.
(c) See graph.
(d) Based on the graph, we can find the range as $\{y|y\lt5\}$
(e) We can see that $f$ is not continuous on its domain (break at $x=0$).
