MHB Implicit Function: What is It and Why Is It Used?

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Why implicit function is a function?
 
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https://mathhelpboards.com/calculus-10/implicit-function-24656.html are some answers to the same question.
Given such a quite broad question, many different answers are possible.
My personal (Pavlovian) reaction would probably mention the implicit function theorem, but I think the discussion is best continued in that other topic.
 

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