Difference between revisions of "Image (mathematics)"
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| − | In [[mathematics]], an '''image''' is the [[subset]] of a [[Function ( | + | In [[mathematics]], an '''image''' is the [[subset]] of a [[Function (mathematics)|function]]'s [[codomain]] which is the output of the function from a subset of its [[Domain of a function|domain]]. |
== Description == | == Description == | ||
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* [[Domain of a function]] | * [[Domain of a function]] | ||
* [[Image (category theory)]] | * [[Image (category theory)]] | ||
| − | * [[Kernel | + | * [[Kernel (set theory)]] |
* [[Range (mathematics)]] | * [[Range (mathematics)]] | ||
* [[Set inversion]] | * [[Set inversion]] | ||
Latest revision as of 13:09, 22 September 2016
In mathematics, an image is the subset of a function's codomain which is the output of the function from a subset of its domain.
Description
Evaluating a function at each element of a subset X of the domain, produces a set called the image of X under or through the function. The inverse image or preimage of a particular subset S of the codomain of a function is the set of all elements of the domain that map to the members of S. Image and inverse image may also be defined for general binary relations, not just functions.
See also
- Bijection, injection, and surjection
- Domain of a function
- Image (category theory)
- Kernel (set theory)
- Range (mathematics)
- Set inversion
External links
- Image (mathematics) @ Wikipedia.org
