Functions

Question 1

Domain

Answer 1

(1) In analysis, the domain of a function is the set of values for which a function is defined. (2) In topology, a domain is a connected, open set.

Question 2

Function

Answer 2

A function is a relation that uniquely associates members of one set with members of another set. The term “function” is sometimes implicitly understood to mean continuous function, linear function, or function into the complex numbers.

Question 3

Inverse Function

Answer 3

The inverse function f^-1 of a function f is the function for which f(f^-1(x)) = x for any x.

Question 4

Range

Answer 4

(1) In the theory of functions, the range is the set of all values that a function can take. (2) In data analysis, the range is the difference between the minimum and the maximum values of a data set.