Definition

Describing a function or sequence that consistently increases or decreases without changing direction.

Example

The graph of a monotonic function either rises or falls steadily without any fluctuations.

Conversation

Have you ever tried to understand a monotonic function in math class?

Yeah, I remember it being a bit confusing at first.

Right? It’s interesting how it either just increases or decreases consistently.

Exactly, once you get the hang of it, it makes more sense!

Synonyms & Antonyms

Root Explanation

Monotonic → It is formed from "mono-" (meaning one or single) and "tonic" (from Greek "tonikos", meaning relating to tension or tone). The word "monotonic" refers to a single tone or a constant tone without variation.

Memory Tip

Think of 'mono-' meaning 'one' and 'tonic' relating to 'tone' — so a monotonic sound is one that stays at a single tone without changing.

Visually Confused Words