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17 August, 22:03

A function is given. determine the average rate of change of the function between the given values of the variable. f (x) = 3 - x2; x = 2, x = 2 + h

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  1. 18 August, 00:48
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    Average rate of change is SLOPE: m = (y₂ - y₁) / (x₂ - x₁)

    f (2) = 3 - (2) ²

    = 3 - 4

    = - 1

    coordinate: (2, - 1)

    f (2 + h) = 3 - (2 + h) ²

    = 3 - (4 + 4h + h²)

    = - h² - 4h - 1

    coordinate: (2 + h, h² + 4h - 1)

    m = (y₂ - y₁) / (x₂ - x₁) = (-1 - (h² - 4h - 1) / (2 - (2 + h)) = (-h² + 4h) / -h = h - 4

    Answer: h - 4
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