• Skip to main content
  • Skip to primary sidebar
  • A
  • B
  • C
  • D
  • E
  • F
  • G
  • H
  • I
  • J
  • K
  • L
  • M
  • N
  • O
  • P
  • Q
  • R
  • S
  • T
  • U
  • V
  • W
  • X
  • Y
  • Z

ChiliMathWords

Math Terms and Definitions from A to Z

You are here: Home / “O” Math Words / One-to-One Function

One-to-One Function

A function is a one-to-one function if every element or y-value in the range comes from a unique element or x-value in the domain. In other words, a function is a one-to-one function if it never maps or associates two or more x-values to the same y-value.

Example:

a mapping diagram that represents a one-to-one function

Here is a more “advanced” definition:

A function is a one-to-one function if an element in the codomain has a pre-image, then the pre-image must be unique.

Example:

a mapping diagram of a one-to-one function where not all of the elements of the codomain have a pre-image

Primary Sidebar

Search Here

We use cookies to ensure that we give you the best experience on our website. If you continue to use this site we will assume that you are happy with it.OkCookie Policy