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Q: Any set of ordered pairs

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A relation is defined as a set of ordered pairs. A function is a special kind of relation ...

Y is the second number in a set of ordered pairs.

The question does not contain an equation nor an inequality. There cannot, therefore be any ordered pairs which can satisfy an expression.

circle

They are coordinates that are plotted on the Cartesian plane.

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coordinates

A relation is defined as a set of ordered pairs. A function is a special kind of relation ...

In general you cannot. Any set of ordered pairs can be a graph, a table, a diagram or relation. Any set of ordered pairs that is one-to-one or many-to-one can be an equation, function.

Y is the second number in a set of ordered pairs.

If a set of ordered pairs is not a relation, the set can still be a function.

Coordinates

Relationship can also be represented by a set of ordered pairs called a function.

If there are any pairs with the same second element but different first elements, then it is not a function. Otherwise it is.

Cartesian product is the name that refers to the set of the ordered pairs. The Cartesian product of two sets A and B is AB.

Any set of ordered pairs. {(0,0),(2,3),(2,-7)} is a relation.

set of ordered pairs

You didn't show the Ordered Pairs so there is no way this question could be answered.