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Math Help - Maximum value of a function within an interval

  1. #1
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    Maximum value of a function within an interval

    What is the maximum value of the function f(x)=1/x over the interval 1/2<x<3/2 (< means less than or equal to)?

    The answer is 2, and that is the function evaluated at 1/2. Why is the answer not infinity (it is one of the choices)? If x is a really small fraction, wouldn't it keep going up and up?
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  2. #2
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    Re: Maximum value of a function within an interval

    good intuition, but "really small fractions" are not included in the range you are given, you are only considering x values between 0.5 and 1.5.
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  3. #3
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    Re: Maximum value of a function within an interval

    Thanks.... I don't know why I was thinking in the wrong range.
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