Answer
20.5
Work Step by Step
Given the interval [3,4]
f(4)=$3(4^{2})-\frac{4}{2}$=46
f(3)=$3(3^{2})-\frac{3}{2}$=25.5
The average rate of change of f(x) over the interval [3,4]
$\frac{f(4)−f(3)}{4−3}=46-25.5=20.5$
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