Relations and Functions (original) (raw)

In mathematics, we often deal with sets of numbers or objects and the ways they are connected. Two important concepts that help us describe these connections are relations and functions.

A **relation is simply a connection between two sets of objects. Think of it as a rule that pairs elements from one set with elements from another set.
For example, the relationship "is greater than" pairs numbers like 5 and 3 because 5 is greater than 3.
A **function, on the other hand, is a special kind of relation. In a function, each element from the first set (called the domain) is connected to exactly one unique element in the second set (called the range).
For instance, if you assign a name to each roll number in a class, that is a function because each roll number is paired with one unique name.

Relations in Maths

This section introduces the concept of relations, their representation, types, properties, and how sets interact through relations.

Types of Relations

Functions in Maths

Learn what functions are, their types, properties, and how they map inputs to outputs with real-life examples and mathematical operations.

Classification of Functions

Standard Types of Functions

Operations on Functions

Practice for Relations and Functions

Practice and test your understanding with quizzes and problems on relations and functions.

Program for Relations and Functions

Solve programming tasks that check properties like reflexivity, symmetry, transitivity, and equivalence in relations.