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  • https://math.libretexts.org/Bookshelves/Combinatorics_and_Discrete_Mathematics/Combinatorics_Through_Guided_Discovery_(Bogart)/zz%3A_Back_Matter/21%3A_Appendix_A%3A_Relations
    A typical way to define a function f from a set S, called the domain of the function, to a set T, called the range, is that f is a relationship between S to T that relates one and only one member of T...A typical way to define a function f from a set S, called the domain of the function, to a set T, called the range, is that f is a relationship between S to T that relates one and only one member of T to each element of X. We use f(x) to stand for the element of T that is related to the element x of S. If we wanted to make our definition more precise, we could substitute the word “relation” for the word “relationship” and we would have a more precise definition.

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