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Range
Let 
be a binary relation. Then the set of all 
such that 
for some 
is called the range of 
. That is, the range of 
is the set of all second coordinates
in the ordered pairs
of 
.
In terms of functions, this means that the range of a function is the full set of values it can take on (the outputs), given the full set of parameters (the inputs). Note that the range is a subset of the codomain.