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Math Help - Sketching the graph

  1. #1
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    Sketching the graph

    Sketch the following function-label all (as possible-means take derivatives as reasonable, etc) such as: domain, roots, asymptotes (vertical, horizontal, slant or oblique), regions of increasing or decreasing, extrema, concavity and inflections as possible and as they exist, Show your work.

    y=x radical(x-4)

    Domain:
    Roots:
    Asymptotes:
    Increasing and Decreasing:
    Maxima and Minima:
    Concave up and down:
    Inflections:
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  2. #2
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    Quote Originally Posted by eberge093 View Post
    Sketch the following function-label all (as possible-means take derivatives as reasonable, etc) such as: domain, roots, asymptotes (vertical, horizontal, slant or oblique), regions of increasing or decreasing, extrema, concavity and inflections as possible and as they exist, Show your work.

    y=x radical(x-4)

    Domain:
    Roots:
    Asymptotes:
    Increasing and Decreasing:
    Maxima and Minima:
    Concave up and down:
    Inflections:
    Hi, welcome to MHF.

    Usually we ask posters to show their attempted work before getting help. This is a long problem and overs a lot of ideas. Which parts are you able to do? Where do you get stuck?
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  3. #3
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    nothing really. I don't see how one of the roots can be four because when I graph it on the calculator the sketch never crosses the x-axis.
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