Answer
$-5$
Work Step by Step
General formula for average rate of change from $a$ to $b$: $\frac{f(b)-f(a)}{b-a}.$
Hence here: $\frac{f(3)-f(2)}{3-2}=\frac{(2-5\cdot3)-(2-5\cdot2)}{1}=\frac{(-13-(-8)}{1}=\frac{(-5}{1}=-5.$
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