Question

What is the average rate of change of the function on the interval from x = 0 to x = 5?

Answer 1

Answer:

Average rate of change $=\frac{1}{8}$

Step-by-step explanation:

Given interval are from $x=0\ to\ x=5$

Also,$=\frac{1}{2^3}x=\frac{1}{8}x$

Average rate of change$=\frac{f(b)-f(a)}{b-a}\ for\ given\ interval\ [a,b]$

Here given intervals are $a=0\ and\ b=5$

Plugging these value in formula, we get.

Average rate of change$=\frac{\frac{1}{8}(5)-\frac{1}{8}(0)}{5-0}\\\\=\frac{\frac{1}{8}(5)-0}{5-0}\\ \\=\frac{\frac{1}{8}(5)}{5}\\\\=\frac{1}{8}$