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For questions about the teaching of the function concept, function properties, and various types of functions.
2
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Should we teach functions as sets of ordered pairs?
Here is a comment from a colleague: defining functions as sets of ordered pairs may not be so important on its own, but it's a convenient way to learn that functions are a special kind of binary relation …
20
votes
Should we teach functions as sets of ordered pairs?
Moreover, I feel it's almost totally unnecessary because in practice in mathematics we do always treat functions as rules. … Similarly for (2), the criterion for equality of functions could be presented as parallel to, rather than derived from, the criterion for equality of sets. …
28
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12
answers
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views
Should we teach functions as sets of ordered pairs?
exposure to functions has usually been limited to the partial $\mathbb{R}\to \mathbb{R}$ variety). … The question is, how do you "define" functions? …