Increasing function
From Calculus
Definition
An increasing function (sometimes called a strictly increasing function) is a function satisfying the following condition for any two distinct elements
in its domain:
Note: Sometimes the term increasing is used for a non-decreasing function, where we do not require strict inequality but only insist on .
Also note that for functions whose domain is empty or a single point, the definition of being increasing is vacuously satisfied and is uninteresting.