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Math Help - Help plotting maximum and minimum values on graph

  1. #1
    Newbie dannibambi's Avatar
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    Question Help plotting maximum and minimum values on graph

    Hello, I am going back to an unfinished homework assignment and I realized that I skipped this problem because my professor never covered it in class. I could use your help with the following problem:

    Sketch the graph of the function f that is continuous on [1,5] and has:
    • absolute minimum at 2
    • absolute maximum at 3
    • local minimum at 4


    I understand that the [1,5] means that I will be plotting points between 1 and 5 on the x-axis, and that the maxima/minima are basically x values, but how do I figure out what their y values are?

    Thank you!
    Danni
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  2. #2
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    Re: Help plotting maximum and minimum values on graph

    There is more than one such function, so your question should probably read "... the graph of a function ...".

    You are correct that [1,5] means all x, 1\le{x}\le5. I would draw the graph by first drawing the minimum and maximum at x=2 and 3, then the minimum (with y value between the two others) at x=4, then connecting them and extending to the whole interval (staying between the minimum and maximum at x=2 and 3).

    I think you have to just pick convenient y-values - there's not a single correct answer (unless there's some additional information you didn't put in your post).

    - Hollywood
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  3. #3
    Super Member ILikeSerena's Avatar
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    Re: Help plotting maximum and minimum values on graph

    Hi dannibambi!

    You can pick any y values you like, as long as they fit your criteria.
    Your graph would for instance look something like this graph.
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