Find the average value of the function over the given interval.
-f(x) = 2x + 12 on [-6, 6]
A) 6
B) 12
C) 144
D) 24

Question

Quizplus · Accepted Answer

The average value of a function f(x) over the interval [a, b] is given by (1/(b-a)) * ∫[a to b] f(x) dx. For f(x) = 2x + 12 over [-6, 6], the integral is ∫[-6 to 6] (2x + 12) dx = [x^2 + 12x] from -6 to 6 = (36 + 72) - (36 - 72) = 144. The average value is (1/12) * 144 = 12.

Find the Average Value of the Function Over the Given