Answer
(a) $m=2$, $b=-5$.
(b) see graph.
(c) domain $(-\infty,\infty)$, range $(-\infty,\infty)$.
(d) $2$
(e) increasing.
Work Step by Step
Given $f(x)=2x-5$, we have:
(a) the slope $m=2$, y-intercept $b=-5$.
(b) see graph.
(c) the domain $(-\infty,\infty)$, the range $(-\infty,\infty)$.
(d) the average rate of change is the same as the slope $R=2$
(e) the function is increasing.