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August 5th, 2012, 11:39 AM   #1
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Fermat's Curve

Quote:
Originally Posted by CRC Concise Encyclopedia of Mathematics
A plane curve of the form y = x^n : For n >0, the
curve is a generalized parabola; for n < 0 it is a
generalized hyperbola.
I doubt it! :

for n=3, y = x^3 is not a parabola, is it? So why it says that y = x^n is always a parabola?

I don't understand . . .

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August 5th, 2012, 02:16 PM   #2
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Re: Fermat's Curve

The are introducing a definition of a generalization. It makes sense only for x > 0.
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August 5th, 2012, 08:22 PM   #3
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Re: Fermat's Curve

Quote:
Originally Posted by mathman
It makes sense only for x > 0.
Yes, thanks!

(They never mentioned that x>0 anywhere)

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