Question

Find the average rate of change of the function over the given interval . Please help and god bless

Answer 1

To calculate the average rate of change of the function we need to take the difference between the two extremes of the interval and divide it by the length of the interval. In this case the interval goes from -1 o 1, therefore we need to find he difference "f(1) - f(-1)" and divide it by 2. Which is done below.

`\begin{gathered} d_{\text{avg}}=(f(1)-f(-1))/(1-(-1)) \\ d_{\text{avg}}\text{ = }((1)^2+2-(-1)^2-2)/(1+1) \\ d_{\text{avg}}=(1+2-1-2)/(2)=0 \end{gathered}`

The average rate of change of this function over tha interval is 0.