Question

The function y=f(x)is graphed below. What is the average rate of change of the function f(x) on the interval 5≤x≤5?

Answer 1

Given

The function y=f(x) is graphed in the interval -5≤x≤5.

Explanation

To find the average rate of change of the function on the interval 0≤x≤5.

Use the formula

$A=\frac{f(b)-f(a)}{b-a}$

Substitute the values,

$\begin{gathered} A=\frac{f(5)-f(0)}{5-0} \\ A=\frac{-5-10}{5-0} \\ A=\frac{-15}{5}=-3 \end{gathered}$

Answer

Hence the average rate of change of the function is -3.