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12 February, 11:32

If f (x) = x^2+2x+3, what is the average rate of change of f (x) over the interval [-4,6]

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  1. 12 February, 13:54
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    F (x) = x^2+2x+3

    average rate of change is the slope of the line connecting (-4, f (-4)) to (6, f (6))

    f (-4) = 16-8+3 = 11

    f (6) = 36+12+3 = 51

    (y2-y1) / (x2-x1) = (51-11) / (6--4) = 40/10 = 4 units
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