Is a relation always a function? Is a function always a relation? Explain.

A relation is not always a function, but a function is always a relation.

Explanation: A relation is any set of ordered pairs, while a function is a specific type of relation where each input (or first element) is mapped to exactly one output (or second element). This means that in a function, no input can correspond to multiple outputs, but a relation can have multiple outputs for the same input. For example, the relation {(1, 2), (1, 3)} is not a function because the input 1 corresponds to two different outputs, 2 and 3.