193k views
2 votes
Determine whether the relation is a function (16,-2),(1,-1),(0,0),(1,1),(16,2)

1 Answer

2 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 Ron Tuffin
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories