Question

Let the graph of y= f(x) be given below estimate the average rate of change for the graph above from x=1 to x=4

Answer 1

-0.825

Explanation:

To calculate the average rate of change we must calculate the values of f (x), with the help of the graph like this:

We apply the formula:

`\begin{gathered} r=(f(b)-f(a))/(b-a) \\ \text{ replacing} \\ r=(2.1-3.75)/(4-2)=(-1.65)/(2)=-0.825 \end{gathered}`

Which means that the average rate of change for the graph is equal to -0.825