Find the average value of the function over the given interval.
-f(x) = -2x + 10 on [-10, 5]
A) 15
B) 5
C) 30
D) 225

Question

Quizplus · Accepted Answer

The average value of a function f(x) over an interval [a, b] is given by the formula (1/b-a) * ∫[a,b] f(x) dx.So, for f(x) = -2x + 10 on [-10, 5], the average value is (1/5-(-10)) * ∫[-10,5] (-2x + 10) dx = (1/15) * [-x^2 + 10x] from -10 to 5 = (1/15) * (-25 + 50) = 15.

Find the Average Value of the Function Over the Given