Yes, the given relation is a function.
Because every element of the set x has a single image.
Relation--
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.
Function--
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.
