- #1

DaveC426913

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I've been toying around with stuff I probably shouldn't be.

I've been sketching a graph of y=x^n where n is a rational number (as opposed to an integer).

Of course, when I get into the fractional exponents, the negative portion of the curve ends up being imaginary (eg. x=-2,n=2.5 then y = squareroot(-32) or about 5.6

Before I actually attempt to sketch this on paper, has it been done already?

It'll be a 3D graph where the z-axis is the imaginary axis. The positive x side will look normal, the negative side will flip between positive y and negative y (also normal),

I've been sketching a graph of y=x^n where n is a rational number (as opposed to an integer).

Of course, when I get into the fractional exponents, the negative portion of the curve ends up being imaginary (eg. x=-2,n=2.5 then y = squareroot(-32) or about 5.6

*i*).Before I actually attempt to sketch this on paper, has it been done already?

It'll be a 3D graph where the z-axis is the imaginary axis. The positive x side will look normal, the negative side will flip between positive y and negative y (also normal),

**but**it will pass through the imaginary space with each flip.
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