Given relation is not a function
Step-by-step explanation:
When a relation is given in the form of ordered pairs, the first element of each ordered pair is the member of domain set and second element is the member of range set.
In order for a relation to be a function, there should be no repetition in domain as the domain elements should be unique.
Given relation is:
{(1,2) (3,4) (5,8) (1,4)}
The domain is: {1,3,5,1}
As we can see there is repetition in domain i.e. 1 is twice in the set, the given relation is not a function.
Hence,
Given relation is not a function
Keywords: Domain, range
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