# Range of a Relation

## Range of a Relation

Set of the end points of the ordered pairs of a relation.

### Notation

The range in a relation $$\Re$$ is noted as Range($$\Re$$) and is read as “range of $$\Re$$“.

### Examples

• Consider the relation defined by $$\Re$$(x) = x + 3 in $$\mathbb{N}$$ .
The range of this relation is: {3, 4, 5, 6, 7, 8, 9, …}.
• Consider the relation defined by $$\Re$$(x= x + 5 in $$\mathbb{Z}$$ .
The range of this relation is: {…, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, …}.
• Consider the relation of set A toward set B represented by this arrow diagram :
The range of this relation is: {2, 4, 8, 16, 32}.