## Precalculus (10th Edition)

a) Slope: $\dfrac{4}{5}x$; b) $y$-intercept: -6; c) see graph d) $h$ is increasing
We are given the function: $h(x)=\dfrac{4}{5}x-6$ a) Determine the slope of the function, using the standard form $y=mx+b$: $m=\dfrac{4}{5}$ Determine the $y$-intercept: $b=-6$ b) Determine the average rate of change: $\dfrac{\Delta y}{\Delta x}=m=\dfrac{4}{5}$ c) Determine the $x$-intercepts: $y=0\Rightarrow \dfrac{4}{5}x-6=0\Rightarrow x=\dfrac{15}{2}$ Graph the function using the intercepts: d) As the slope is positive, the function is increasing on $(-\infty,\infty)$.