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Math Help - Graphing question.

  1. #1
    Newbie
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    Feb 2011
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    Graphing question.

    Not sure about this question:

    Sketch the graph of an odd function which is continuous for all real numbers, decreasing on the interval (0,2) and (5,infinity), increasing on the interval (3,5), constant on the interval (2,3), global maximum at x=5.

    When I try graphing it I find that there isn't enough information to go on.
    Could someone help me.
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  2. #2
    Super Member TheChaz's Avatar
    Joined
    Nov 2010
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    Northwest Arkansas
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    Re: Graphing question.

    There isn't enough information??
    The word "odd" will tell you how to draw the "left" half of the x-y plane, once the "right" half is determined.

    Connect these points, and see if that satisfies your requirements:
    (0, 0)
    (2, -2)
    (3, -2)
    (5, 0)
    (∞, -∞)... by that, I mean just draw a line segment (or downward tending curve) shooting off to the lower right.

    That the graph is odd tells you that if you negate EACH and EVERY coordinate of each point I listed (or in your own example/work), you'll have the whole picture.
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