Question

The function y=f(x) is graphed below. Plot a line segment connecting the points on ff where x=-1 and x=0. Use the line segment to determine the average rate of change of the function f(x) on the interval −1≤x≤0

Answer 1

Aveage Rate of cCanege = 40

Explanation:

The line segment is drawn in the function below:

Using the line segment:

`\begin{gathered} \Delta x=0-(-1)=1 \\ \Delta y=40-0=40 \end{gathered}`

Therefore, the average rate of change will be:

`\text{ Average Rate of Change}=(\Delta y)/(\Delta x)=(40)/(1)=40`

The average rate of change is 40.