Question

The set of ordered pairs in the table below can be described as which of the following?

x y
-4 0
-1 -3
-3 5
-1 1

a relation only

a function only

both a relation and a function

neither a relation nor a function

Answer 1

Correct Answer: A relation only

A set of ordered pairs is said to be a relation. So the given pairs form a relation.
For a relation to be a function, the condition that must be satisfied is that the first element of its ordered pairs should not be paired with more than 1 value.

In simple words it can be said that the x-values should only occur once for a relation to be a function. In the given ordered pairs, -1 is occurring twice, hence this relation is not a function.

Hence the set of ordered pairs is only a relation.