Answer:
average rate of change of the function = 3
Explanation:
average rate of change function is defined as,
f(b) - f(a) / b - a where [a,b] is the interval
according to the question [a,b] = [2, 2+h]
f(2) = 3(2) + 7 = 13
f(2+h) = 3(2 + h) + 7 = 6 + 3h + 7 = 13 + 3h
by substituting the values in the function,
average rate of change function = 13 + 3h - 13 / 2 + h - 2 = 3h / h = 3