It is the set of all ordered pairs - nothing less, nothing more.
The set may be represented by the coordinates of all points on a plane. But the coordinate plane is not the set.
This result is a so-called product set and is called a Cartesian product.
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If a set of ordered pairs is not a relation, the set can still be a function.
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.
Graph of an equation.
they are the first set of paired elements
A set of ordered pairs that assign to each x-value exactly one y-value is called a function.