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Stolb23 [73]
2 years ago
7

Given the function f(x) = x² + 8x + 12, determine the average rate of change of

Mathematics
1 answer:
Kitty [74]2 years ago
3 0

The average rate of change of a (continuous) function f(x) over an interval [a, b] is given by the so-called difference quotient,

\dfrac{f(b)-f(a)}{b-a}

Here we have f(x) = x² + 8x + 12 and the interval is [-10, -2], so the ARoC of f(x) on this interval is

\dfrac{f(-2) - f(-10)}{-2 - (-10)} = \dfrac{0 - 32}8 = \boxed{-4}

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