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Math Help - Max n Min

  1. #1
    Junior Member shannu82's Avatar
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    Exclamation Max n Min

    The charge in a capacitor over a three second period is given (numerically) by
    f(t)=1/2t 0<=t<1
    =1/2(t-1) 1<=t<2
    =1/2(t-2) 2<=t<3
    = 0 t=3
    Does f(t) have a max or min in (0,3). Explain!

    Do we take the first derivative? for each? That is what i did! Any help would be appreciated!
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  2. #2
    MHF Contributor chisigma's Avatar
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    The function f(t) has as upper bound 1 and lower bound 0. However no values of t exists such that f(t)=1, so that the function doesn't have a maximum, and infinite values of t exist such that f(t)=0, so that the function has infinite minimum points where is f(t)=0...

    Kind regards

    \chi \sigma
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  3. #3
    MHF Contributor
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    When dealing with hybrid functions a graph always helps.
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