Answer
(a) domain $(-\infty,\infty)$ and range$(-\infty,1]$.
(b) $(2,1)$.
(c) $x=2$.
(d) $-11$.
(e) $2\pm\frac{\sqrt 3}{3}$.
Work Step by Step
(a) Based on the given graph, we can find the domain as $(-\infty,\infty)$ and range as $(-\infty,1]$.
(b) The coordinates of the vertex can be found as $(2,1)$.
(c) The equation of the axis can be identified as $x=2$.
(d) The y-intercept can be found as $f(0)=-11$.
(e) The x-intercepts can be found by letting $f(x)=0$ to get $x=2\pm\frac{\sqrt 3}{3}$.
