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Topic: Onto Functions
Replies: 2   Last Post: Dec 27, 2012 11:56 PM

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Dan Christensen

Posts: 10
From: Canada
Registered: 12/27/12
Re: Onto Functions
Posted: Dec 27, 2012 11:56 PM
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A function is a relation mapping every element of one set to a unique element of another.

If f is a function mapping from set A to set B, we write:

f: A --> B


for all x in A, f(x) is in B.

A function f mapping set A to set B is said to be onto (or surjective) iff

for all y in B, there exists an x in A such that f(x)=y.

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