The relation {(2, 11), (-9, 8), (14, 1), (5, 5)} is not a function when which ordered pair is added to the set? (8, -9) (6, 11) (0, 0) (2, 18)

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In these ordered pairs the first element (number) is an argument, and the second is the corresponding value. For this relation to be a function (which means one-valued function), each argument must have only one corresponding value.

This given relation has four arguments: `2,` `-9,` `4` and `5,` and they are all different. So now it is a (one-valued) function. To make this relation not a one-valued function, we have to add a pair which has an argument coinciding with one of these four and a different value for this argument.

The only suitable pair is (2, 18). It gives a different value (18 instead of 11) for the same argument (2).

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