Question

Можно ли назвать функцию отображением множества значения аргумента в область определения функции

Answer 1

Да. так как это взаимосвязано

Answer 2

===========================================================
Функция как соответствие между элементами двух множеств, область определения функции как наибольшее множество значений аргумента, которое ... с помощью функции y = f(x)
множество X отображается в множество Y. 
============================================================

Answer 3

Can the function be called a mapping of the set of argument values to the function's domain?

Yes, a function can be called a mapping of the set of argument values to the function's domain. In mathematics, a function is indeed a relation between a set of inputs (the function's domain) and a set of possible outputs (the function's codomain). When each input is related to exactly one output, it is called a "well-defined" function. This mapping is often represented by the function notation f: X → Y, where f is the function, X is the domain, and Y is the codomain.

In this context: - The domain refers to the set of all possible inputs or arguments for the function. - The codomain refers to the set of all possible outputs or values that the function can produce. - The function itself then maps each element in the domain to a unique element in the codomain.

This concept is fundamental in understanding the behavior and properties of functions in mathematics and other fields that utilize mathematical modeling