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Math Help - maximum

  1. #1
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    maximum

    Determine from the graph whether f possesses extrema on the interval (a,b).

    Maximum is at the x=c, and minimum at x=b???
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    Last edited by Samantha; August 1st 2007 at 06:27 AM.
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  2. #2
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    Unfortunately, there is no way to answer the question based on the drawing; if the graph were of a better quality then maybe.

    For example, in we know absolutely that \lim _{x \to c^ -  } f(x) \le f(c) then you could say that x=c is a extreme maximum. But that is not clear from your drawing.

    The second problem with the question is that the notation (a,b) is a open interval. Thus, there would be no minimum at x=b because b is not in the domain of interest. If however it were [a,b], a closed interval, the x=b would be the absolute minimum,
    Last edited by Plato; August 1st 2007 at 07:00 AM.
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