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Math Help - Unfamiliar Cubed Root Function

  1. #1
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    Unfamiliar Cubed Root Function

    I'm in Calculus AB and we are currently exploring the rules of derivatives. One function that they give, represented in the transcript of the lesson as y = \sqrt[3]{x^2} + 1 is first depicted in the attachment.

    What the transcript gives and what the image shows are two different formats; what exactly does the format shown on the image signify and how do I plot this on my TI-83 graphing calculator?

    Thanks in advance.
    Attached Thumbnails Attached Thumbnails Unfamiliar Cubed Root Function-ex2deriv.png  
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  2. #2
    MHF Contributor ebaines's Avatar
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    Re: Unfamiliar Cubed Root Function

    I can only guess that in their attempt to write the cube root symbol:

    Unfamiliar Cubed Root Function-cuberootfunction.jpg
    the graphic got messed up. But the plot on the graph itself is correct. As for your graphing calculator - recall that taking the cube root of a number is the same as raising it to the 1/3 power, so  \sqrt[3] {x^2} is the same as x^{2/3}.
    Last edited by ebaines; October 22nd 2012 at 07:43 AM.
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  3. #3
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    Re: Unfamiliar Cubed Root Function

    Quote Originally Posted by ebaines View Post
    I can only guess that in their attempt to write the cube root symbol:

    Click image for larger version. 

Name:	cuberootfunction.JPG 
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    the graphic got messed up. But the plot on the graph itself is correct. As for your graphing calculator - recall that taking the cube root of a number is the same as raising it to the 1/3 power, so  \sqrt[3] {x^2} is the same as x^{2/3}.
    Thanks ebaines - I think you are correct. Later in the lesson it showed the limit difference quotient with h approaching zero, except the right arrow was replaced with an symbol.

    Since it is the same, the x^{2/3} makes perfect sense now.

    Thanks!
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