Answer
(a) $m=\frac{4}{5}$, $b=-6$.
(b) see graph.
(c) domain $(-\infty,\infty)$, range $(-\infty,\infty)$.
(d) $\frac{4}{5}$
(e) increasing.
Work Step by Step
Given $h(x)=\frac{4}{5}x-6$, we have:
(a) the slope $m=\frac{4}{5}$, y-intercept $b=-6$.
(b) see graph.
(c) the domain $(-\infty,\infty)$, the range $(-\infty,\infty)$.
(d) the average rate of change is the same as the slope $R=\frac{4}{5}$
(e) the function is increasing.
