Question

What is the best definition of the domain of relation

Answer 1

Domain. The domain of a function is the complete set of possible values of the independent variable. In plain English, this definition means: The domain is the set of all possible x-values which will make the function "work", and will output real y-values.

Answer 2

Domain is the set of all possible input for which the relation is defined.

Explanation:

If a relation is defined as

`Relation=\{(x,y):x\in R, y\in R}`

In this relation x is the variable that defines all inputs of the relation and y is the variable that defines all outputs of the relation.

Domain is the set of all possible input for which the relation is defined. So, the domain of the above relation is

`Domain=\{x:x\in R\}`

In the ordered pairs, the set of x-coordinates is called domain of the relation.