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Average rate of change
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Learn it The average rate of change of f from x = a to x = b is [f(b) − f(a)] ÷ (b − a): the slope of the secant line. It tells how fast the output changes per unit of input, on average.
Example: f(x) = x² + 1 from x = 1 to x = 4.
- f(4) = 17, f(1) = 2.
- (17 − 2) ÷ (4 − 1) = 5.
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