The average rate of change is 11
Explanation:
The given function is
We need to determine the average rate of change for the function from 2 to 6
The average rate of change can be determined using the formula,
where and
Now, we shall determine the values of f(2) and f(6) by substituting the values for x = 2 and x = 6 in the function
Thus, we have,
Similarly, substituting x = 6, we get,
Hence, substituting these values in the formula , we get,
Simplifying, we get,
Thus, the average rate of change for the function from 2 to 6 is 11