Calculate, estimate, and interpret average rate of change for quadratic functions.
Find the average rate of change from two given points
Problem
Calculate the average rate of change between points \((1,3)\) and \((4,15)\).
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What this problem is really about
Average rate of change is the slope of the secant joining two input-output points. We’ll find the output change and input change in the same point order, divide them, and check that the sign and rise reconstructed from the rate fit the movement between the points.
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