Find the average value of the function over the given interval.
-f(x) = 4x on [ 9, 11]
A) 40
B) 160
C) 20
D) 80

Name: Find the average value of the function over the given interval. -f(x) = 4x on [ 9, 11] A) 40 B) 160 C) 20 D) 80
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Question

Quizplus · Accepted Answer

The average value of a function $f(x)$ over the interval $[a, b]$ is given by $\frac{1}{b-a} \int_{a}^{b} f(x) dx$. For $f(x) = 4x$ on $[9, 11]$, the average value is $\frac{1}{11-9} \int_{9}^{11} 4x dx = \frac{1}{2} [2x^2]_{9}^{11} = \frac{1}{2} [242 - 162] = 40$.

Find the Average Value of the Function Over the Given