Answer:
Explanation:
To find the average rate of change of f(x) = x + 8 on the interval [8, 8 + h], we need to calculate the difference in the function values divided by the difference in x-values.
Let's substitute the given interval into the function:
f(8) = 8 + 8 = 16
f(8 + h) = (8 + h) + 8 = h + 16
Now, we can find the average rate of change:
Average Rate of Change = (f(8 + h) - f(8)) / (8 + h - 8)
= [(h + 16) - 16] / h
= h / h
= 1
Therefore, the average rate of change of f(x) on the interval [8, 8 + h] is simply 1.