Hi, I was just having a little trouble of understanding what it... is saying, well first I'll state what my book says the definition is:(adsbygoogle = window.adsbygoogle || []).push({});

A function T:D* [itex]\subseteq[/itex] R^{2}→ R^{2}is called one-to-one if for each (u,v) and (u',v') in D*, T(u,v)=T(u',v') implies that u = u' and v = v'

A function T:D* [itex]\subseteq[/itex] R^{2}→ R^{2}is called onto D if for every point (x,y) [itex]\in[/itex] D there is a point (u,v) in D* such that T(u,v) = (x,y)

So just a couple of questions (they might be stupid... sorry):

1. Now correct me if I'm wrong but the function T, is supposed to bring a domain in D* to D right? So isn't there a problem that there are two points, (u,v), and (u',v') that goes to the same point?

2. Isn't the definition for a function to be onto, is a definition for all functions? Because that's what a function does right? f(x) = y, you put x in, and it gives you "y"

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# Questions Regarding Definition of One-to-One and Onto Functions?

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