Vastealuetta

Vastealuetta is a Finnish term that refers to the range or image of a function or system. In mathematics and related sciences, it denotes the set of all possible outputs that a function can produce when its inputs vary over the permitted domain. The concept helps distinguish what a model or mapping can actually yield from the inputs it accepts.

Formally, if f is a function from a set X (the domain) to a set Y (the codomain), the vastealue of f is the set { f(x) | x ∈ X }. This is a subset of Y and may be smaller than the entire codomain if not all outputs are attainable from the inputs. For example, the function f(x) = x^2 with domain the real numbers has a vastealue of [0, ∞), since squaring any real input cannot produce negative values.

In applied contexts, the vastealue describes the practical range of outputs a system can produce given its inputs and constraints. It is used in engineering, physics, and data analysis to assess whether a model’s responses fall within acceptable or measurable limits. The term emphasizes the relationship between inputs and observable results, alongside the theoretical domain and codomain of the governing description.

See also: image of a function, range (mathematics), transfer function, operating range.