Answer:
The average rate of change is 0
Step-by-step explanation:
Given
See attachment for graph
Required
The average rate function for [tex]0 \le x \le 8[/tex]
The average rate function (m) is calculated as:
[tex]m = \frac{f(b)-f(a)}{b - a}[/tex]
for [tex]a \le x \le b[/tex]
So, we have:
[tex]a =0[/tex]
[tex]b = 8[/tex]
This gives:
[tex]m = \frac{f(b)-f(a)}{b - a}[/tex]
[tex]m = \frac{f(8) - f(0)}{8 - 0)}[/tex]
[tex]m = \frac{f(8) - f(0)}{8}[/tex]
From the attached plot;
[tex]f(8) =0[/tex]
[tex]f(0) = 0[/tex]
So, we have:
[tex]m = \frac{f(8) - f(0)}{8}[/tex]
[tex]m = \frac{0}{8}[/tex]
[tex]m = 0[/tex]
