Consider the map [tex]f : \mathbb{R}^2 \rightarrow \mathbb{R}^2[/tex](adsbygoogle = window.adsbygoogle || []).push({});

defined by

[tex](x,y) \mapsto (xy-x^2, xy-y^2)[/tex]

I'm interested in figuring out the range of this function, but I keep thinking myself in circles. What would be a systematic method for approaching something like this?

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# Range of Quadratic Function

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