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# graphing question

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Consider the set of all points (x,y) in the coordinate plane for which one of the coordinates is 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 29, 2020

#1
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$$y=x^2\\ y=\pm \sqrt{x}$$

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

Dec 29, 2020

#1
+117
+1
$$y=x^2\\ y=\pm \sqrt{x}$$
The coordinate plane is divided into five planes by the graphs $$y=x^2$$ and $$y=\pm\sqrt{x}$$.