Plotting a cubic function using x, y, and z points.

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Assasinof6
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Plotting a cubic function using x, y, and z points.

Postby Assasinof6 » Thu Sep 30, 2010 11:38 pm UTC

Exactly what would a cubic function look like, if z points were used as well (ie, if the graph was 3, not 2 dimensional).
I see.
What?
That you don't.

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Qaanol
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Re: Plotting a cubic function using x, y, and z points.

Postby Qaanol » Fri Oct 01, 2010 12:21 am UTC

Depends on what, exactly, the function is. Plenty of 3D graphing programs out there. Pick one, pick an equation, and see for yourself.
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Eebster the Great
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Re: Plotting a cubic function using x, y, and z points.

Postby Eebster the Great » Fri Oct 01, 2010 1:50 am UTC

Assasinof6 wrote:Exactly what would a cubic function look like, if z points were used as well (ie, if the graph was 3, not 2 dimensional).

You mean something like z = x3 + y3 or what?

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Mike_Bson
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Re: Plotting a cubic function using x, y, and z points.

Postby Mike_Bson » Fri Oct 01, 2010 4:53 am UTC

Assasinof6 wrote:Exactly what would a cubic function look like, if z points were used as well (ie, if the graph was 3, not 2 dimensional).

Like this?
http://www.wolframalpha.com/input/?i=y%3Dx^3%2Bz^3

(Copy the URL)

Sagekilla
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Re: Plotting a cubic function using x, y, and z points.

Postby Sagekilla » Fri Oct 01, 2010 12:48 pm UTC

If you're talking about a 2 variable function z = f(x, y), then a cubic function would produce some sort of surface depending on the form of the equation.

In general, an n-variable function creates a n-dimensional surface.
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Eebster the Great
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Re: Plotting a cubic function using x, y, and z points.

Postby Eebster the Great » Fri Oct 01, 2010 4:45 pm UTC

Sagekilla wrote:If you're talking about a 2 variable function z = f(x, y), then a cubic function would produce some sort of surface depending on the form of the equation.

In general, an n-variable function creates a n-dimensional surface.

That isn't necessarily true. Consider for example space curves. However, functions describing n-dimensional surfaces can generally be parametrized in n and no fewer than n variables.


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