Find the average value of the function over the given interval.
-f(x) = 4x on [1, 3]
A) 8
B) 32
C) 16
D) 4

Name: Find the average value of the function over the given interval. -f(x) = 4x on [1, 3] A) 8 B) 32 C) 16 D) 4
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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 $[1, 3]$, the average value is $\frac{1}{3-1} \int_{1}^{3} 4x dx = \frac{1}{2} [2x^2]_{1}^{3} = \frac{1}{2} [18 - 2] = 8$.

Find the Average Value of the Function Over the Given