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

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An explicit function can be converted into an implicit function by expressing it as y - f(x) = 0, a method referenced in Wikipedia. In addition to this, finding an inverse of the function is another valid approach. The discussion raises questions about the number of methods available for this conversion, specifically whether there are finite or infinite ways to achieve it. While one method is confirmed, the exploration of additional techniques remains open. Understanding these conversions is essential for deeper mathematical comprehension.
roni1
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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.
 
Mathematics news on Phys.org
1. At least one other way of stating an implicit function: find an inverse.
 

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