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Rate of Change of a Function

Rate of Change of a Function

Given two values x1 and x2 of the domain of a function f, the rate of change of this function from x1 to x2 is the ratio:

f(x2)  f(x1)x2  x1.

Example

Consider the function f defined by f(x) = 4x² − 3. We want to determine the rate of change of this function between the values 5 and 7 of its domain.

f(x2)  f(x1)x2  x1=(4×(7)2  3)  (4×(5)2  3)7  5=193  972 = 48.

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