värdeomfång

Värdeomfång is a Swedish term that translates to "range of values" or "scope of values." In mathematics, it refers to the set of all possible output values of a function. For a function f, its värdeomfång is the set of all y such that y = f(x) for some x in the domain of f. This concept is fundamental to understanding the behavior and properties of mathematical functions.

The värdeomfång is distinct from the definitionsområde, which is the set of all possible input values for a function. For example, consider the function f(x) = x^2. The definitionsområde is all real numbers, while the värdeomfång is all non-negative real numbers, as the square of any real number is always greater than or equal to zero.

In other contexts, värdeomfång can refer to a broader set of ethical, moral, or societal values that are considered important or relevant within a particular group or culture. It describes the spectrum of principles and beliefs that guide behavior and decision-making. For instance, a company might have a stated värdeomfång that includes integrity, innovation, and customer focus, indicating the core values they aim to uphold and promote. This broader usage emphasizes the importance of shared principles in shaping identity and action.