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2. 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 ...

3. 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.

4. 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 x ↦ y {\displaystyle x\mapsto y} instead of y = f ( x ) {\displaystyle y=f(x)} , where the symbol ↦ {\displaystyle \mapsto } (read ' maps to ') is used to specify where a particular element x in the domain is mapped to by f .

5. Interval arithmetic - Wikipedia

   en.wikipedia.org/wiki/Interval_arithmetic

   The main objective of interval arithmetic is to provide a simple way of calculating upper and lower bounds of a function's range in one or more variables. These endpoints are not necessarily the true supremum or infimum of a range since the precise calculation of those values can be difficult or impossible; the bounds only need to contain the function's range as a subset.

6. Image (mathematics) - Wikipedia

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

   An alternative notation for [] used in mathematical logic and set theory is ″. [6] [7] Some texts refer to the image of as the range of , [8] but this usage should be avoided because the word "range" is also commonly used to mean the codomain of .

7. Interval (mathematics) - Wikipedia

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

   This characterization is used to specify intervals by mean of interval notation, which is described below. An open interval does not include any endpoint, and is indicated with parentheses. [2] For example, (,) = {< <} is the interval of all real numbers greater than 0 and less than 1.