All of the values that can go into a relation or function (input) are called the domain.
All of the values that come out of a relation or function (output) are called the range.
The domain is the set of all first elements of ordered pairs (x-coordinates).
The range is the set of all second elements of ordered pairs (y-coordinates).
Only the elements "used" by the relation or function constitute the range.
EXAMPLE:
State the domain and range of the following relation:
(eye color, student's name).
A = {(blue,Steve), (green,Elaine), (brown,Kyle), (blue,Marsha), (brown,Miranda), (green, Dylan)} State whether the relation is a function.
Solution: Domain: {blue, green, brown}.
Range: {Steve, Elaine, Marsha, Miranda, Dylan}.
No, this relation is not a function. The eye colors are repeated.
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