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# coordinate points

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Consider the set of all points (x,y) in the coordinate plane for which one of the coordinates is exactly the square of the other. If we were to plot all such points, into how many regions would the resulting graph split up the plane?

Dec 18, 2020

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Consider the set of all points (x,y) in the coordinate plane for which one of the coordinates is exactly the square of the other. If we were to plot all such points, into how many regions would the resulting graph split up the plane?

Hello Guest!

$$y=x^2\\ y=\pm \sqrt{x}$$

The coordinate plane is divided into five planes by the graphs $$y=x^2$$ and $$y=\pm\sqrt{x}$$.

!

Dec 18, 2020
edited by asinus  Dec 18, 2020
edited by asinus  Dec 18, 2020