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  2. Truncus (mathematics) - Wikipedia

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

    A mathematical graph of the basic truncus formula, marked in blue, with domain and range both restricted to [-5, 5]. = (+) + where a, b, and c are given constants. The two asymptotes of a truncus are parallel to the coordinate axes.

  3. Domain of a function - Wikipedia

    en.wikipedia.org/wiki/Domain_of_a_function

    The term domain is also commonly used in a different sense in mathematical analysis: a domain is a non-empty connected open set in a topological space. In particular, in real and complex analysis , a domain is a non-empty connected open subset of the real coordinate space R n {\displaystyle \mathbb {R} ^{n}} or the complex coordinate space C n ...

  4. 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.

  5. Cubic function - Wikipedia

    en.wikipedia.org/wiki/Cubic_function

    The graph of any cubic function is similar to such a curve. The graph of a cubic function is a cubic curve, though many cubic curves are not graphs of functions. Although cubic functions depend on four parameters, their graph can have only very few shapes. In fact, the graph of a cubic function is always similar to the graph of a function of ...

  6. 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.

  7. List of types of functions - Wikipedia

    en.wikipedia.org/wiki/List_of_types_of_functions

    These properties concern the domain, the codomain and the image of functions. Injective function: has a distinct value for each distinct input. Also called an injection or, sometimes, one-to-one function. In other words, every element of the function's codomain is the image of at most one element of its domain.

  8. Domain coloring - Wikipedia

    en.wikipedia.org/wiki/Domain_coloring

    Domain coloring plot of the function f(x) = ⁠ (x 2 − 1)(x − 2 − i) 2 / x 2 + 2 + 2i ⁠, using the structured color function described below.. In complex analysis, domain coloring or a color wheel graph is a technique for visualizing complex functions by assigning a color to each point of the complex plane.

  9. Restriction (mathematics) - Wikipedia

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

    More generally, the restriction (or domain restriction or left-restriction) of a binary relation between and may be defined as a relation having domain , codomain and graph ( ) = {(,) ():}. Similarly, one can define a right-restriction or range restriction R B . {\displaystyle R\triangleright B.}