Question

How do I identify the domain and range of a relation or function?

Answer 1

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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