Is the following relation a function?
2 answers:
<h2>Answer:</h2>
Yes, the given relation is a function.
Because every element of the set x has a single image.
<h2>Step-by-step explanation:</h2><u>Relation--</u>
A relation from the set A to set B is the collection or set of all the ordered pair of the type: (a,b)
where a belongs to A and b belongs to B.
<u>Function--</u>
A relation from a set A to set B is a function if every element of A is mapped to some element of B and there is just one image corresponding to each element of x.
Now after looking at the mapping diagram we observe that no element of A is mapped to two elements of B.
i.e. every element has a single image.
Hence, the relation is a function.
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