<u>Given</u>:
It is given that the function is
We need to determine the average rate of change of the function over the interval x = 2 to x = 8.
<u>Value of f(2):</u>
Substituting x = 2 in the function, we get;
Thus, the value of f(2) is 3.
<u>Value of f(8):</u>
Substituting x = 8 in the function, we get;
Thus, the value of f(8) is 5.
<u>Average rate of change:</u>
The average rate of change can be determined using the formula,
Substituting a = 2 and b = 8 in the above formula, we get;
Thus, the average rate of change over the interval x = 2 to x = 8 is