If there are any pairs with the same second element but different first elements, then it is not a function. Otherwise it is.
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Relationship can also be represented by a set of ordered pairs called a function.
You didn't show the Ordered Pairs so there is no way this question could be answered.
Coordinates
A function is a relation in which every input value has one output value. so when you have a set of ordered pairs, there can only be one x value corresponding to a y value, so when there is a set like this....{(2,3) (2,4)} the x value has two outputs making this not a function.
The y-values for the two ordered pairs would have to be the same (for example, (3,1) and (6,1) would be such a set of ordered pairs). Because the slope of a line is (y1-y2)/(x1-x2), for the slope to be zero, y1=y2.