(3,11) will be removed so that the relation is a function.
Further explanation:
When a relation is given in the form of ordered pairs, the domain consists of the first elements of each ordered pair while the second elements of each pair will be the set of domains.
In order for a relation to be a function, there should be no repetition in domain.
Given relation is:
{( 1,12) ( 3,8) (3,11) (6,9) ( 7 ,11)}
The domain is:
{1,3,6,7}
The range is:
{12,8,11,9,11}
The repeating elements are in (3,8) (3,11)
We can remove any one of the two ordered pairs to make the relation a function
Lets remove (3,11) it will also remove the repetition in the range
So, (3,11) will be removed so that the relation is a function.
Keywords: Domain, Range, Functions
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