Graph of a function

Graph of a function

In mathematics, the graph of a function is the set of ordered pairs , where In the common case where and are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane. In the case of functions of two variables, that is functions whose domain consists of pairs the graph usually refers to the set of ordered triples where instead of the pairs as in the definition above. This set is a subset of three-dimensional space; for a continuous real-valued function of two real variables, it is a surface.

Comment
enIn mathematics, the graph of a function is the set of ordered pairs , where In the common case where and are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane. In the case of functions of two variables, that is functions whose domain consists of pairs the graph usually refers to the set of ordered triples where instead of the pairs as in the definition above. This set is a subset of three-dimensional space; for a continuous real-valued function of two real variables, it is a surface.
Depiction
−((cosx)%5E2 + (cosy)%5E2)%5E2.png
Polynomial of degree three.svg
Three-dimensional graph.png
X%5E4 - 4%5Ex.png
Has abstract
enIn mathematics, the graph of a function is the set of ordered pairs , where In the common case where and are real numbers, these pairs are Cartesian coordinates of points in two-dimensional space and thus form a subset of this plane. In the case of functions of two variables, that is functions whose domain consists of pairs the graph usually refers to the set of ordered triples where instead of the pairs as in the definition above. This set is a subset of three-dimensional space; for a continuous real-valued function of two real variables, it is a surface. 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. A graph of a function is a special case of a relation. In the modern foundations of mathematics, and, typically, in set theory, a function is actually equal to its graph. However, it is often useful to see functions as mappings, which consist not only of the relation between input and output, but also which set is the domain, and which set is the codomain. For example, to say that a function is onto (surjective) or not the codomain should be taken into account. The graph of a function on its own doesn't determine the codomain. It is common to use both terms function and graph of a function since even if considered the same object, they indicate viewing it from a different perspective.
Hypernym
Collection
Is primary topic of
Graph of a function
Label
enGraph of a function
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Asymptote
Cartesian coordinates
Cartesian coordinate system
Cartesian plane
Category:Charts
Category:Functions and mappings
Category:Numerical function drawing
Chart
Codomain
Concave function
Contour line
Convex function
Critical point (mathematics)
Derivative
Domain of a function
Engineering
Epigraph (mathematics)
File:F(x,y)=−((cosx)%5E2 + (cosy)%5E2)%5E2.PNG
File:Polynomial of degree three.svg
File:Three-dimensional graph.png
File:X%5E4 - 4%5Ex.PNG
Finance
Foundations of mathematics
Function (mathematics)
Map (mathematics)
Mathematics
Normal (geometry)
Ordered pair
Ordered triple
Plot (graphics)
Range of a function
Real line
Real number
Real-valued function
Rectangular coordinate system
Relation (mathematics)
Science
Set theory
Slope
Stationary point
Surface (mathematics)
Surjective function
Technology
Tetraview
Three-dimensional space
Trigonometric function
Two-dimensional space
Vertical translation
Y-intercept
SameAs
Fonksiyon grafiği
Funksiyanın qrafiki
Funksjonsgraf
Funksjonsgraf
Funktionsgraph
Funtzio baten irudikapen grafiko
Graf
Graf (mängd)
Graf funkce
Graf funkcie
Graf funkcije
Graf funkcije
Gràfica d'una funció
Gráfica de una función
Gráfica dunha función
Grafich de 'na fonzion
Grafico di una funzione
Graficul unei funcții
Grafiek (wiskunde)
Grafikaĵo
Grafik fungsi
Grafik funkcije
Grafikon (matematika)
Graph
Graphe d'une fonction
Graph of a function
Graphum (mathematica)
Grap ng punsiyon
komP
Línurit
m.0l 1w
Q182598
Wykres funkcji
Đồ thị của hàm số
Γραφική παράσταση συνάρτησης
График (ҳандаса)
Графика на функция
График на функција
График функции
График функције
Графік функцыі
Графік функції
Функци графикĕ
Ֆունկցիայի գրաֆիկ
גרף של פונקציה
تمثيل الدالة البياني
دالہ کا منحنی
فنکشن دا گراف
نمودار تابع
گرافی فانکشن
சார்பின் வரைபடம்
ആരേഖം
กราฟของฟังก์ชัน
グラフ (関数)
函数图形
함수의 그래프
Subject
Category:Charts
Category:Functions and mappings
Category:Numerical function drawing
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