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3 years ago

10

What is the average rate of change of f over the interval [3,4]?

1 answer:

masya89 [10]3 years ago

3 0

Answer:

4

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 ] = [ 3, 4 ] , then

f(b) = f(4) = - 1 ← from table

f(a) = f(3) = - 5 ← from table , then

average rate of change = $\frac{-1-(-5)}{4-3}$ = $\frac{-1+5}{1}$ = 4

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