Image (mathematics)
Set of all values of a function; set of all values that a function can produce; subset of codomain
In mathematics, the image of a function f : X → Y {\displaystyle f:X\to Y} is the set of all f ( x ) {\displaystyle f(x)} such that x {\displaystyle x} belongs to the domain of f {\displaystyle f} . The image by f {\displaystyle f} of an element x {\displaystyle x} of the domain of f {\displaystyle f} is f ( x ) {\displaystyle f(x)} , that is, the output corresponding to the input x {\displaystyle x} .
Nº Q860623 ★★
Uncommon · Knowledge
Image (mathematics)
Set of all values of a function; set of all values that a function can produce; subset of codomain
In mathematics, the image of a function f : X → Y {\displaystyle f:X\to Y} is the set of all f ( x ) {\displaystyle f(x)} such that x {\displaystyle x} belongs to the domain of f {\displaystyle f} . The image by f {\displaystyle f} of an element x {\displaystyle x} of the domain of f {\displaystyle f} is f ( x ) {\displaystyle f(x)} , that is, the output corresponding to the input x {\displaystyle x} .
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median
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sales
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Show table
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Sales history
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- 30-day average
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- Sales 7d
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- Sales 30d
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No sales yet.
Anonymous sales: no buyer or seller shown. Figures count player-to-player sales only.
From Wikipedia
In mathematics, the image of a function f : X → Y {\displaystyle f:X\to Y} is the set of all f ( x ) {\displaystyle f(x)} such that x {\displaystyle x} belongs to the domain of f {\displaystyle f} . The image by f {\displaystyle f} of an element x {\displaystyle x} of the domain of f {\displaystyle f} is f ( x ) {\displaystyle f(x)} , that is, the output corresponding to the input x {\displaystyle x} . The image by f {\displaystyle f} of a subset S {\displaystyle S} of the domain of f {\displaystyle f} is the set of all f ( x ) {\displaystyle f(x)} such that x {\displaystyle x} is in S {\displaystyle S} , that is, the set of the images of the elements of S {\displaystyle S} . Equivalently, it is the image of the restriction of f {\displaystyle f} to S {\displaystyle S} . Preimages or inverse images are defined similarly, by exchanging the roles of the domain and the codomain: The preimage of an element y {\displaystyle y} of the codomain of f {\displaystyle f} is the set of all elements x {\displaystyle x} of the domain of f {\displaystyle f} such that f ( x ) = y {\displaystyle f(x)=y} ; it is empty if y {\displaystyle y} does not belong to the image of f {\displaystyle f} . The preimage of a subset T {\displaystyle T} of the codomain of f {\displaystyle f} is the set of all elements x {\displaystyle x}...
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