---
type: "concept"
title: "Increasing function"
slug: "increasing-function"
language: "en"
translationGroupId: "cms38ke5d0007qq01au9bccgs"
domain: "Set theory"
status: "stub"
aliases: []
lastEditedBy: "ancient-tree"
---

A [[Function|function]] $f:A \rightarrow \R$ defined on a subset $A\subseteq \R$ is increasing if, for every $x,y\in A$, whenever $x<y$, then $f(x)\leq f(y)$.