Functions: Different values of y for same value of x

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A function cannot have two different values of y for a single value of x, as this violates the definition of a function. While multivalued functions do exist, they do not meet the criteria to be classified as functions. The discussion emphasizes that the rule of functions is strict and unbreakable. Therefore, any relation that assigns multiple y values to one x cannot be considered a function. Understanding this distinction is crucial in mathematical definitions and applications.
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Is it possible to create a function that has two values of y for every one value of x, or is this an unbreakable rule of functions?
 
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ScienceNerd36 said:
Is it possible to create a function that has two values of y for every one value of x, or is this an unbreakable rule of functions?

Multivalued functions exist, but they're not functions.
 
Thanks :)
 

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