Final answer:
The relation in question is a function because in the set of pairs given, each input (first symbol) is related to exactly one output (second symbol), satisfying the definition of a function.
Step-by-step explanation:
The question is asking whether the relation {(<,>),(^,-),(+,=),(&,\u0025)} is a function. In mathematics, a function is a special type of relation where each input is related to exactly one output. That means, for a relation to be a function, every first element (often referred to as 'x' or the 'domain') can only be paired with one second element (often referred to as 'y' or the 'range').
In the given set of pairs, we can interpret each pair as a mapping from the first symbol to the second symbol. To determine if this relation is a function, we need to check if any first symbol is repeated with a different second symbol. Since all first symbols are unique (no symbol is repeated), this relation can indeed be considered a function.