# Math Help - Relations

1. ## Relations

Let R be a relation on A and $f: A \rightarrow A$ be a function. We say that f preserves the relation iff a R b implies f(a) R f(b). what do we call functions from R to R ( real numbers) that preseves the $\leq$ relation?

2. Originally Posted by onemore
Let R be a relation on A and $f: A \rightarrow A$ be a function. We say that f preserves the relation iff a R b implies f(a) R f(b). what do we call functions from R to R ( real numbers) that preseves the $\leq$ relation?

Monotone increasing.

Tonio