Statements (23)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
Range (of a function)
|
| gptkbp:contrastsWith |
Inverse image
Preimage |
| gptkbp:describes |
Set of all output values of a function
|
| gptkbp:example |
Image of f(x) = x^2 over real numbers is [0, ∞)
|
| gptkbp:formalDefinition |
For function f: X → Y, image is {f(x) | x ∈ X}
|
| gptkbp:hasSubgroup |
Codomain
|
| gptkbp:hasWikidataID |
gptkb:Q185347
|
| https://www.w3.org/2000/01/rdf-schema#label |
Image (mathematics)
|
| gptkbp:property |
Image can be empty if domain is empty
Image is always a subset of codomain Image may be equal to codomain if function is surjective |
| gptkbp:relatedTo |
gptkb:Domain_(mathematics)
gptkb:Function_(mathematics) Codomain |
| gptkbp:usedIn |
gptkb:Topology
gptkb:Linear_algebra gptkb:Set_theory gptkb:Abstract_algebra Analysis |
| gptkbp:bfsParent |
gptkb:First_isomorphism_theorem
|
| gptkbp:bfsLayer |
7
|