Find Average Rate of Change
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Find Average Rate of Change

[From: ] [author: ] [Date: 12-10-13] [Hit: ]
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Compute the average rate of change of the function on the given interval.

f(x) = 16 - 7x on the interval
[-sqrt(5), sqrt(2)]

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The average rate of change of f(x) over the interval a ≤ x ≤ b is defined by:

Δf(x)/Δx = [f(b) - f(a)]/(b-a)

For the given function,
Δf(x)/Δx = [(16-7√2) - (16+7√5)]/(√2+√5)
= -7(√2+√5)/(√2+√5)
= -7

Note: It will always be the case the the average rate of change for a linear function anywhere in its domain will be equal to the instantaneous (derivative) rate of change.
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