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Mnenie [13.5K]
3 years ago
7

F(x)=x^3 −9x What is the average rate of change of over the interval [1,6]?

Mathematics
1 answer:
Inga [223]3 years ago
8 0

Answer:

34

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, 6 ], thus

f(b) = f(6) = 6³ - 9(6) = 216 - 54 = 162

f(a) = f(1) = 1³ - 9(1) = 1 - 9 = - 8

average rate of change = \frac{162-(-8)}{6-1} = \frac{170}{5} = 34

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