Answer
$-5$
Work Step by Step
RECALL:
A function's average rate of change from $x=a$ to $x=b$ is given by the formula:
$\text{average rate of change} = \dfrac{f(b)-f(a)}{b-a}$
Use the formula above to obtain:
$\text{average rate of change}
\\= \dfrac{f(3)-f(2)}{3-2}
\\=\dfrac{(2-5\cdot 3)-(2-5 \cdot 2)}{1}
\\=\dfrac{(2-15)-(2-10)}{1}
\\=\dfrac{-13-(-8)}{1}
\\=\dfrac{-13+8}{1}
\\=\dfrac{-5}{1}
\\=-5$
Thus, the average rate of change of the given function from $x=2$ to $x=3$ is $-5$.
