Definition:Monotone (Order Theory)/Real Function

Definition
This definition continues to hold when $S = T = \R$.

Thus, let $f$ be a real function.

Then $f$ is monotone it is either increasing or decreasing.

Also known as
A monotone function can also be referred to as a monotonic function.

Monotone is preferred on because it is shorter and has less syllables, and hence is more economical.

Also see

 * Definition:Strictly Monotone Real Function