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14 December, 13:55

Supposef (0) = 2 and 2 ≤ f ' (x) ≤ 7for all x in the interval [-5, 5]. determine the greatest and least possible values of f (2). least

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  1. 14 December, 14:25
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    If the slope of the function is 2, the amount it can change over the interval 0-2 is

    ... 2*2 = 4 units

    If the slope is 7, the amount it can change over the interval 0-2 is

    ... 2*7 = 14 units

    The least possible value of f (2) is 2+4 = 6.

    The greatest possible value of f (2) is 2+14 = 16.
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