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by Ciro Santilli (@cirosantilli, 37)

Codomain

 Home Mathematics Area of mathematics Formalization of mathematics Function (mathematics) Domain, codomain and image
 1 By others on same topic  0 Discussions  Updated 2025-05-29  +Created 1970-01-01  See my version
Vs: image: the codomain is the set that the function might reach.
The image is the exact set that it actually reaches.
E.g. the function:
f(x)=x2
(1)
could have:
  • codomain R
  • image R+​
Note that the definition of the codomain is somewhat arbitrary, e.g. x2 could as well technically have codomain:
R⋃R2
(2)
even though it will obviously never reach any value in R2.
The exact image is in general therefore harder to characterize.
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    • Endofunction Codomain

Endofunction

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Codomain
A function where the domain is the same as the codomain.

 Ancestors (6)

  1. Domain, codomain and image
  2. Function (mathematics)
  3. Formalization of mathematics
  4. Area of mathematics
  5. Mathematics
  6.  Home

 Incoming links (3)

  • Endofunction
  • Injective function
  • Surjective function

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 Articles by others on the same topic (1)

Codomain by Wikipedia Bot 0  1970-01-01
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