Graph of a Function

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Details

In mathematics, the graph of a function f is the collection of all ordered pairs (x, f(x)). In particular, if x is a real number, graph means the graphical representation of this collection, in the form of a curve on a Cartesian plane, together with Cartesian axes, etc. Graphing on a Cartesian plane is sometimes referred to as curve sketching. 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 its graphical representation is a surface see three dimensional graph. The graph of a function on real numbers is identical to the graphic representation of the function. For general functions, the graphic representation cannot be applied 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.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786130281540
    • Editor Frederic P. Miller, Agnes F. Vandome, John McBrewster
    • Sprache Englisch
    • Größe H220mm x B150mm x T5mm
    • Jahr 2010
    • EAN 9786130281540
    • Format Fachbuch
    • ISBN 978-613-0-28154-0
    • Titel Graph of a Function
    • Untertitel Graph Theory, Ordered Pair, Curve, Triple, Three-dimensional Graph, Functional Analysis, Codomain, Complex Number, Vertical Line Test, Injective Function, Horizontal Line Test
    • Gewicht 130g
    • Herausgeber Alphascript Publishing
    • Anzahl Seiten 76
    • Genre Mathematik

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