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)

• trig functions
  • sine, sin(x)
  • cosine, cos(x)

 
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