English: Comparison of sine function on unit circle with graph (Photo credit: Wikipedia)

**Synonyms:**** correspondence, mapping, transformation**

Definition: A function is a **relation**from a domain set to a range set, where each element of the domain set is related to exactly one element of the range set.

An equivalent definition: A function (f) is a relation from a set A to a set B (denoted f: A�B), such that for each element in the domain of A (Dom(A)), the f-relative set of A (f(A)) contains exactly one element.

Some common functions (with discussions)

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Posted in Math

Tags: Algebra, Andrew Hacker, Basic Algebra, Education, Lie algebra, Math, Mathematics, New York Times

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