How Many Ways Can You Convert an Explicit Function into an Implicit One?

[roni1]

Hello,
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 infinite ways or a finite ways to do it?

Thanks, for one that answer.

 

[Greg]

1. At least one other way of stating an implicit function: find an inverse.