Oliver A.

asked • 04/15/21

Curve Sketching Question, Please Help, Thank you.

  1.  Use the algorithm for curve sketching to sketch the function f(x) = x3 - 9x2 +15x +30. To ensure to show y', critical point, increase and decrease intervals, maximum and minimum, y'', concavity, and point of inflection.

I'm not sure what they mean by algorithm, my teacher just randomly gave us this question and I have no idea how to do this question :( If anyone could help, that would be much appreciated.

A tutor on here had said that it may be something like: find x and y intercepts, find horizontal and vertical asymptotes, determine end behavior, followed by y' , y'' critical points, concavity, points of inflection, etc.

John M.

If you can sketch these parameters, do it, but if not, graph the function, like using Desmos, Wolfram Alpha, etc., and identify all of these parameters. I'll bet you have a test question coming like this so learn how by manually sketching them.
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04/15/21

1 Expert Answer

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Doug C. answered • 04/15/21

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Oliver A.

Thank you much for taking the time to help me with this question!! This was very helpful :D
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04/15/21

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