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X to y is a many one function if two or more elements of set x are connected to the same element in set y. In simple terms, many to one function means when multiple elements are related to one element, or where multiple inputs can give the same output, that relation is known as many to one function Many one function is a special relation between two sets where the elements of the domain set have more than one image in the range set In this function, for an input of single value we get more than one result
It is mathematically defined using sets and it is represented with the help of mapping. Since a function always satisfies the vertical line test (no vertical line can intersect more than once), a many to one function is one which any vertical line intersects no more than once but some horizontal line intersects more than once. In other words, two different elements in the domain map to the same element in the codomain. A function f which may (but does not necessarily) associate a given member of the range of f with more than one member of the domain of f
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