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:

Quote:

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Originally Posted by eberge093

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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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?

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.