volume_mute
Many-One Function — Identify From a Diagram
publish date: 2026/05/23 18:47:47.368161 UTC
volume_mute
Examine the mapping below.
What type of function is shown?
Correct Answer
Many-one
Explanation
A function is many-one if at least one element of the codomain is the image of two or more domain elements. Here, both \(a\) and \(b\) map to element \(1\) — so \(1\) has two pre-images. This violates one-to-one uniqueness but is still a valid function (each domain element still has exactly one image).
Reference
Introduction to Differential Calculus (Systematic Studies with Engineering Applications for Beginners) - 2012