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Whitepunk [10]
3 years ago
6

I need answer for this quick please

Mathematics
1 answer:
Anna007 [38]3 years ago
5 0

Answer:

- 6

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

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

Here [ a, b ] = [ - 1, 4 ] , then

f(b) = f(4) = 4³ - 6(4)² - 4 = 64 - 96 - 4 = - 36

f(a) = f(- 1) = (- 1)³ - 6(- 1)² - (- 1) = - 1 - 6 + 1 = - 6 , then

average rate of change = \frac{-36-(-6)}{4-(-1)} = \frac{-36+6}{4+1} = \frac{-30}{5} = - 6

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