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# Chapter 2 - Relations and Functions

In this chapter, you’ll get a clear understanding of Relations and Functions. Both Relations and Functions have a different meaning in mathematics; however many get confused and use these words interchangeably. A ‘relation’ means a relationship between two elements of a set.  It is a set of inputs and outputs, denoted as ordered pairs (input, output). We can also represent a relation as a mapping diagram or a graph. A relation can either be symbolised by Roster method or Set-builder method. On the other hand, a ‘function’ is a special type of relation, in which each input is related to a unique output. So, all functions are relations, but not all relations are functions.

The concept of relations and functions is very significant in mathematics as well as in real life. Thus, an in-depth study of these concepts is extremely important.

## Let’s take a look at topics and sub-topics of Class 11 Maths Chapter 2, Relations and Functions

2.1 Introduction

2.2 Cartesian Product of Sets

2.3 Relations

2.4 Functions

## In Class 11 Maths Chapter 2, one will learn –

Section 2.2 – In this section, you’ll learn what Cartesian product of sets is and how to represent it graphically and in the form of sets.

Section 2.3 – In this section, you’ll study what is a relation and some related concepts such as image, domain and range. You will also acquire knowledge about how to represent relations algebraically either by the Roster method or by the Set-builder method.

Section 2.4 – In this section, you will study about special type of relations known as functions. You’ll also learn about the algebra of real functions and different types of functions such as identity function, constant function, polynomial function, rational functions, the modulus function and signum function.

In this chapter, you are provided with several diagrams and examples along with their solutions for a clear understanding of Relations and Functions. To know more about Class 11 Maths Chapter 2 Relations and Functions, you should explore the exercises below. You can also download the Sets Class 11 NCERT Solutions PDF, solved by expert Maths trainers.

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