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Determine whether the relation is a function (16,-2),(1,-1),(0,0),(1,1),(16,2)

User Roland Orre
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1 Answer

16 votes
16 votes

A relation is a function if and only if given two pairs (a,b) and (c,d), if a=c then b=d. This means that for a single value a, there cannot be two different values associated to it.

Since the pairs (16,-2) and (16,2) are in the relation but 2 is different from -2, then this relation is NOT a function.

Another counterexample is the number 1, since the pairs (1,-1) and (1,1) belong to the relation but the second entries -1 and 1 are different.

User Jboot
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