Answer
(a) domain $(-\infty,\infty)$ and range$(-\infty,2]$.
(b) $(-3,2)$.
(c) $x=-3$.
(d) $-16$.
(e) $-4,-2$.
Work Step by Step
(a) Based on the given graph, we can find the domain as $(-\infty,\infty)$ and range as $(-\infty,2]$.
(b) The coordinates of the vertex can be found as $(-3,2)$.
(c) The equation of the axis can be identified as $x=-3$.
(d) The y-intercept can be found as $f(0)=-16$.
(e) The x-intercepts can be found as $x=-4,-2$.