Question

Find the average rate of change(aroc) on the intervalSHOW ALL WORK

Answer 1

`g(x)=3x-x^3`
`\text{Let the rate be r}`
`r=(g(2)-g(-1))/(2-(-1))`
`\begin{gathered} g(2)=3(2)-(2)^3=6-8=-2 \\ g(-1)=3(-1)-(-1)^3=-3-(-1)=-3+1=-2 \\ \Rightarrow r=(-2-(-2))/(2-(-1))=(0)/(2)=0 \end{gathered}`

Hence, the average rate of change is 0