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I explain in my class a way to take a function and change it to implict function as:

y - f(x) = 0

I see that way in Wikipedia, so I used it the class.

But my students ask me question that I don't know to answer:

1. Are there more ways to take a function and change it to implict function?

2. Are there infinte ways or a finite ways to do it?

Thanks, for one that answer.