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Answer :

Using the given relations, let's determine the relation which represents a function.

A relation represents a function if for each value of x there is only one possible y-value.

This means that in the relation no value of the x-coordinate must appear twice or be repeated.

Using the relations given, the relation which is a function is:

{(1, 4), (2, 3), (3,  2), (4, 1)}

This is because, in this relation, there is only one value y for each value of x.

In this relation, no x value appears more than once.

Therefore, the relation which is a function is:

{(1, 4), (2, 3), (3,  2), (4, 1)}

ANSWER:

{(1, 4), (2, 3), (3,  2), (4, 1)}