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  2. Domain of a function - Wikipedia

    en.wikipedia.org/wiki/Domain_of_a_function

    A function f from X to Y. The set of points in the red oval X is the domain of f. Graph of the real-valued square root function, f(x) = √ x, whose domain consists of all nonnegative real numbers. In mathematics, the domain of a function is the set of inputs accepted by the function.

  3. Function (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Function_(mathematics)

    A function f, its domain X, and its codomain Y are often specified by the notation :. One may write instead of = (), where the symbol (read 'maps to') is used to specify where a particular element x in the domain is mapped to by f. This allows the definition of a function without naming.

  4. Codomain - Wikipedia

    en.wikipedia.org/wiki/Codomain

    A codomain is part of a function f if f is defined as a triple (X, Y, G) where X is called the domain of f, Y its codomain, and G its graph. [1] The set of all elements of the form f(x), where x ranges over the elements of the domain X, is called the image of f. The image of a function is a subset of its codomain so it might not coincide with it.

  5. Range of a function - Wikipedia

    en.wikipedia.org/wiki/Range_of_a_function

    is a function from domain X to codomain Y. The yellow oval inside Y is the image of . Sometimes "range" refers to the image and sometimes to the codomain. In mathematics, the range of a function may refer to either of two closely related concepts: the codomain of the function, or; the image of the function.

  6. Graph of a function - Wikipedia

    en.wikipedia.org/wiki/Graph_of_a_function

    Given a function: from a set X (the domain) to a set Y (the codomain), the graph of the function is the set [4] = {(, ()):}, which is a subset of the Cartesian product.In the definition of a function in terms of set theory, it is common to identify a function with its graph, although, formally, a function is formed by the triple consisting of its domain, its codomain and its graph.

  7. Domain (mathematical analysis) - Wikipedia

    en.wikipedia.org/wiki/Domain_(mathematical_analysis)

    In complex analysis, a complex domain (or simply domain) is any connected open subset of the complex plane C. For example, the entire complex plane is a domain, as is the open unit disk, the open upper half-plane, and so forth. Often, a complex domain serves as the domain of definition for a holomorphic function.

  8. Glossary of mathematical symbols - Wikipedia

    en.wikipedia.org/wiki/Glossary_of_mathematical...

    3. Restriction of a function: if f is a function, and S is a subset of its domain, then | is the function with S as a domain that equals f on S. 4. Conditional probability: () denotes the probability of X given that the event E occurs. Also denoted (/); see "/". 5.

  9. Truncus (mathematics) - Wikipedia

    en.wikipedia.org/wiki/Truncus_(mathematics)

    In analytic geometry, a truncus is a curve in the Cartesian plane consisting of all points (x,y) satisfying an equation of the form . A mathematical graph of the basic truncus formula, marked in blue, with domain and range both restricted to [-5, 5].

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