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

Find the average rate of change(aroc) on the intervalSHOW ALL WORK-example-1

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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

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