växelområde

Växelområde is a Swedish term used in various fields to denote the range of values that a system, function, or process can produce under specified inputs. The exact meaning depends on the discipline, but it generally refers to the set of possible outputs rather than the inputs themselves.

In mathematics, växelområde often corresponds to the image or range of a function. If f maps a domain A to a codomain B, the växelområde is the set { f(x) | x in A }. This is distinct from the domain (or växelområde/området where inputs come from) and is sometimes called värdeområde or bildmängd. For example, if f(x) = x^2 with x in [-2, 3], the växelområde is [0, 9].

In engineering and measurement contexts, växelområde can describe the acceptable or observed range of outputs from a sensor, actuator, or subsystem. It defines the operating bounds within which performance criteria are met, such as accuracy, stability, or linearity.

In programming and data analysis, växelområde may refer to the set of possible return values of a function, or the range of a variable given constraints on inputs. It helps in understanding worst-case and best-case scenarios and in designing tests.

Synonyms and related terms include värdeområde, bildmängd, and räckvidd. The concept is often contrasted with domän (domain) and with the complete codomain.