Relations and Functions ML Aggarwal ISC Class-11 Maths Solutions

Relations and Functions ML Aggarwal ISC Class-11 Maths Solutions Chapter-2. Step by step Solutions of ML Aggarwal ISC Class-11 Mathematics with Exe 1.1, Exe-1.2, Exe-1.3, Exe-1.4, Exe-1.5, Exe-1.6, Exe-1.7 and Chapter Test Questions. Visit official Website CISCE for detail information about ISC Board Class-11 Mathematics.

Relations and Functions ML Aggarwal ISC Class-11 Maths Solutions Ch-2

Board	ISC
Class	11
Subject	Mathematics
Chapter-2	Relations and Functions
Session	2024-25
Topics	Solutions of ML Aggarwal

What is a Function?

A function is a relation which describes that there should be only one output for each input (or) we can say that a special kind of relation (a set of ordered pairs) which follows a rule i.e every X-value should be associated with only one y-value is called a function.

Types of Functions

In terms of relations, we can define the types of functions as:

One to one function or Injective function: A function f: P → Q is said to be one to one if for each element of P there is a distinct element of Q.
Many to one function: A function which maps two or more elements of P to the same element of set Q.
Onto Function or Surjective function: A function for which every element of set Q there is pre-image in set P
One-one correspondence or Bijective function: The function f matches with each element of P with a discrete element of Q and every element of Q has a pre-image in P.

What is the Relation?

It is a subset of the Cartesian product. Or simply, a bunch of points(ordered pairs). In other words, the relation between the two sets is defined as the collection of the ordered pair, in which the ordered pair is formed by the object from each set.

Types of Relations

Different types of relations are as follows:

Empty Relations
Universal Relations
Identity Relations
Inverse Relations
Reflexive Relations
Symmetric Relations
Transitive Relations

How to Convert a Relation into a Function?

A special kind of relation (a set of ordered pairs) which follows a rule i.e every X-value should be associated with only one y-value, then the relation is called a function.