Answer
$18$
Work Step by Step
By using the slope formula, $m=\frac{f(a)-f(b)}{a-b}, a\ne b$, the average rate of change from $2$ to $4$ is:
$=\frac{f(4)-f(2)}{4-2}
\\=\frac{(3\cdot4^2-2)-(3\cdot2^2-2)}{2}
\\=\frac{46-10}{2}
\\=18$
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