Answer
(a) $(-3,\infty)$
(b) $x=-\frac{1}{2}$, $f(0)=1$.
(c) See graph.
(d) $(-\infty,5)$.
Work Step by Step
(a) Based on the given piece-wise function, we can find the domain as $(-3,\infty)$
(b) For x-intercept(s), let $y=0$, we have $x=-\frac{1}{2}$ (the second equation has no x-intercept). For y-intercept(s), let $x=0$, we have $f(0)=1$.
(c) See graph.
(d) Based on the graph, we can find the range as $(-\infty,5)$.
