## Related questions with answers

Question

Calculate the average rate of change for each function over the given interval. f(x) = ∛x for 5 ≤ x ≤ 9

Solution

VerifiedStep 1

1 of 2Find the average rate of change of the function over the given interval.

$\dfrac{f(9)- f(5)}{9-5}=\dfrac{\sqrt[3]{9}-\sqrt[3]{5}}{9-5}$

$\dfrac{f(9)- f(5)}{9-5}\approx \dfrac{0.37}{4}$

$\dfrac{f(9)- f(5)}{9-5}\approx \color{#c34632}{0.09}\color{white}{\tag{1}}$

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