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Is the relation a function? {(14, 15), (5, 7), (3, 10), (11, 1), (5, 8)} yes no
A function is defined with a certain set of properties. One of these properties is that it cannot have more than one output (y) for an input (x). Here we can see that (5,7) and (5,8) says that this relation has more than one output for an input (x=5).
its a function because no numnber is repeated
Actually, it is not a function because the number 5 is assigned to two different values, namely 7, and 8.
It's not a function for the reasons I stated above.