What is Function?
A function is a specific type of relation where each input value (domain) aligns with precisely one output value (range). It ensures a unique assignment of output to each input, designated as f: A → B, where A signifies the domain and B denotes the range of potential output values.
This functional mapping characterizes various phenomena across mathematics, science, and beyond, providing a fundamental tool for understanding and analyzing diverse systems and processes.
- Domain: Set of all possible input values that the function can accept.
- Codomain: Set of all potential output values that the function can produce.
- Range: Set of actual output values obtained from the function by applying it to elements in the domain.
- Properties: May include characteristics like injectivity, surjectivity, bijectivity, continuity, differentiability, etc., defining its behavior and functionality.
Also Check, Types of Function
Difference between Relation and Function
Relation defines how elements of one set relate to elements of another set whereas a Function is a special type of relation in which each element in the domain (input) is related to exactly one element in the codomain (output).
This article explores relations and functions, highlighting their definitions, properties, differences, and applications in mathematics.
Contact Us