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- Graph_of_a_function abstract "In mathematics, the graph of a function f is the collection of all ordered pairs (x, f(x)). If the function input x is an ordered pair (x1, x2) of real numbers, the graph is the collection of all ordered triples (x1, x2, f(x1, x2)), and for a continuous function is a surface (see three-dimensional graph).Informally, if x is a real number and f is a real function, graph may mean the graphical representation of this collection, in the form of a line chart: a curve on a Cartesian plane, together with Cartesian axes, etc. Graphing on a Cartesian plane is sometimes referred to as curve sketching. The graph of a function on real numbers may be mapped directly to the graphic representation of the function. For general functions, a graphic representation cannot necessarily be found and the formal definition of the graph of a function suits the need of mathematical statements, e.g., the closed graph theorem in functional analysis.The concept of the graph of a function is generalized to the graph of a relation. Note that although a function is always identified with its graph, they are not the same because it will happen that two functions with different codomain could have the same graph. For example, the cubic polynomial mentioned below is a surjection if its codomain is the real numbers but it is not if its codomain is the complex field.To test whether a graph of a curve is a function of x, use the vertical line test. To test whether a graph of a curve is a function of y, use the horizontal line test. If the function has an inverse, the graph of the inverse can be found by reflecting the graph of the original function over the line y = x.In science, engineering, technology, finance, and other areas, graphs are tools used for many purposes. In the simplest case one variable is plotted as a function of another, typically using rectangular axes; see Plot (graphics) for details.".
- Graph_of_a_function thumbnail X%5E4-4%5Ex.gif?width=300.
- Graph_of_a_function wikiPageExternalLink FunctionGraph.html.
- Graph_of_a_function wikiPageExternalLink graph.html.
- Graph_of_a_function wikiPageID "87352".
- Graph_of_a_function wikiPageRevisionID "594223452".
- Graph_of_a_function hasPhotoCollection Graph_of_a_function.
- Graph_of_a_function subject Category:Charts.
- Graph_of_a_function subject Category:Functions_and_mappings.
- Graph_of_a_function type Abstraction100002137.
- Graph_of_a_function type Chart106999802.
- Graph_of_a_function type Charts.
- Graph_of_a_function type Communication100033020.
- Graph_of_a_function type Function113783816.
- Graph_of_a_function type FunctionsAndMappings.
- Graph_of_a_function type MathematicalRelation113783581.
- Graph_of_a_function type Relation100031921.
- Graph_of_a_function type VisualCommunication106873252.
- Graph_of_a_function type Genre.
- Graph_of_a_function type MusicGenre.
- Graph_of_a_function type TopicalConcept.
- Graph_of_a_function type Concept.
- Graph_of_a_function comment "In mathematics, the graph of a function f is the collection of all ordered pairs (x, f(x)).".
- Graph_of_a_function label "Funktionsgraph".
- Graph_of_a_function label "Grafico di una funzione".
- Graph_of_a_function label "Grafiek (wiskunde)".
- Graph_of_a_function label "Graph of a function".
- Graph_of_a_function label "Graphe d'une fonction".
- Graph_of_a_function label "Gráfica de una función".
- Graph_of_a_function label "Wykres funkcji".
- Graph_of_a_function label "График функции".
- Graph_of_a_function label "مبيان دالة".
- Graph_of_a_function label "グラフ (関数)".
- Graph_of_a_function label "函数图形".
- Graph_of_a_function sameAs Graf_funkce.
- Graph_of_a_function sameAs Funktionsgraph.
- Graph_of_a_function sameAs Γραφική_παράσταση_συνάρτησης.
- Graph_of_a_function sameAs Gráfica_de_una_función.
- Graph_of_a_function sameAs Funtzio_baten_irudikapen_grafiko.
- Graph_of_a_function sameAs Graphe_d'une_fonction.
- Graph_of_a_function sameAs Grafico_di_una_funzione.
- Graph_of_a_function sameAs グラフ_(関数).
- Graph_of_a_function sameAs 함수의_그래프.
- Graph_of_a_function sameAs Grafiek_(wiskunde).
- Graph_of_a_function sameAs Wykres_funkcji.
- Graph_of_a_function sameAs m.0l_1w.
- Graph_of_a_function sameAs Q182598.
- Graph_of_a_function sameAs Q182598.
- Graph_of_a_function sameAs Graph_of_a_function.
- Graph_of_a_function wasDerivedFrom Graph_of_a_function?oldid=594223452.
- Graph_of_a_function depiction X%5E4-4%5Ex.gif.
- Graph_of_a_function isPrimaryTopicOf Graph_of_a_function.
