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Math Help - Increasing absolute min

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    Increasing absolute min

    Prove: If I:=[a,b] is an interval and f:I->R, R,reals is an increasing function, then the point a [respectively,b] is an absolute minimum [respectively, maximum] point for f on I. If f is strictly increasing, then a is the only absolute minimum point for f on I.
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    MHF Contributor Drexel28's Avatar
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    Quote Originally Posted by apple2010 View Post
    Prove: If I:=[a,b] is an interval and f:I->R, R,reals is an increasing function, then the point a [respectively,b] is an absolute minimum [respectively, maximum] point for f on I. If f is strictly increasing, then a is the only absolute minimum point for f on I.
    This is merely unraveling the definitions. What do you think?
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