Függvényértékre

Függvényértékre translates from Hungarian to English as "function value". It refers to the output of a function for a given input. When a function, denoted as f, is applied to an element x from its domain, the result is called the function value, often written as f(x).

For example, if we consider the function f(x) = x^2, and we want to find the function value for the input x = 3, we substitute 3 into the function: f(3) = 3^2 = 9. In this case, 9 is the function value.

Understanding function values is fundamental in mathematics. It allows us to analyze the behavior of functions, plot their graphs, and solve equations. The set of all possible function values for a given function is known as its range or image.

The concept of function values is used across various fields, including calculus, algebra, and computer science. In programming, functions are implemented to perform specific tasks, and their return values are the function values they produce.