Question

F(x)x=-2 x=3 f(x)x^3-1=?

Answer 1

We want to find the average rate of change of the function

`f(x)=x^3-1`

On the interval;

`x=-2,x=3`

The average rate of change could be found by;

`m=(f(3)-f(-2))/(3-(-2))`
`\begin{gathered} f(3)=3^3-1=27-1=26 \\ f(-2)=(-2)^3-1=-8-1=-9 \end{gathered}`

Thus, the average rate of change m is;

`\begin{gathered} m=(26-(-9))/(3-(-2)) \\ m=(35)/(5) \\ m=7 \end{gathered}`

Therefore, the average rate of change of f(x) is 7