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4 February, 22:12

If f (x) = x^2+3x, what is the average rate of change of f (x) over the interval [-2,3]?

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  1. 5 February, 00:16
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    the average rate of change in the closed interval [ a, b ] is

    (f (b) - f (a))) / (b - a)

    f (b) = f (3) = 3² + 3 (3) = 9 + 9 = 18

    f (a) = f (-2) = (-2) ² + 3 (-2) = 4 - 6 = - 2

    = (18 - (-2)) / (3 - (-2)) = 20/5 = 4
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