Jagat Singh

Functions
Domain and Range 
Some Special functions and their graphs
 Transcendental and Algebraic functions
Homogeneous, Odd and Even ,modulus, signum, GIF, fractional part,
Inverse, compositions and periodic 
Previous year questions asked in IIT JEE

IIT JEE 2020 and 2021 Main and Advanced exam preparation. Know about detailed syllabus, best books, exam pattern and dates. Cover previous year question papers and book solutions from great educators.

IIT JEE

JEE Main and Advanced Preparation

Hindi

(Hindi) Functions for IIT JEE

Learn about types of functions like into - onto function, one to one function, bijective function, injective function, surjective function, periodic function, drawing graphs of mathematical functions.

Functions & Graphs

Functions and Their Graphs

Mathematics

IITJEE, NEET UG and Foundation

Ace the toughest competitive and government exams in India 

Test Preparation

Functions
Domain and Range 
Some Special functions and their graphs
 Transcendental and Algebraic functions
Homogeneous, Odd and Even ,modulus, signum, GIF [x] fractional part of x i.e, {x}
Types of functions, one one , many one, onto ,into , (injective and surjective functions) bijective functions
Inverse, compositions and periodic

Previous year questions asked in IIT JEE

1 Course overview (in Hindi)

Definition and examples of Set , relation and its types. Representation, ordered pairs and cartesian product of sets in details

2 Basics of Set and Cartesian product (in Hindi)

Function
Definition and examples
Graphical method to check that a relation is a function or not

4 Functions (in Hindi)

Polynomial functions, graphs , domain, range and solved examples

6 Polynomial Functions (in Hindi)

Learn how to find domain of any function, basic rules

5 Domain of any Function (in Hindi)

Complete detailed lesson on Signum function, graphs , domain, range and solved examples

10 Signum Function (in Hindi)

Logarithmic and exponential functions, graphs , domain, range and solved examples

12 Exponential and Logarithm Functions (in Hindi)

Learn finding Domain and range for mixed functions containg both algrbraic and transcendental. Problems involing modulus , signum, greatest integer, polynomial, roots, fractional part ,exponential and logarithm

13 Mixed problems to Find Domain (in Hindi)

14 Mixed problems for finding the domain (in Hindi)

Fractional part of x , domain, range, graph and solved problems for iit jee mathematics

15 Fractional part of x {x} (in Hindi)

17 Finding domain and range part 1( in Hindi)

18 Finding Domain and Range part 2 (in Hindi)

Modulus functions , graph, Domain, range and solved problems

9 Modulus function (in Hindi)

19 Finding domain and range part 3 (in Hindi)

Definiton of Relation and its types with solved examples. Void relation, universal relation, identity relation, inverse relation

3 Relation (in Hindi)

Graphs, domain and range of trigonometric functions with solved examples

20 miscelleneous questions (in Hindi)

Algebraic, transcendental and fractional rational function, domain, range and solved problems

7 Algebraic function ( in Hindi)

Learn sone basics and rules for finding domain and range of trigonometric functions and apply them to solve typical problems

8 Trigonometric functions (in Hindi)

Greatest integer functions , graph, domain and range with examples, illustrations and excercise question for learners

11 Greatest integer function [x] (in Hindi)

Properties of fractional part of x , solved examples, solution of equations

16 Fractional part of x cont (in Hindi)

Is tanx= 1/Cotx ? Learn when we say, two functions are equal or not.very important topic for IIT JEE aspirants

22 Equal or identical functions part 1 (in Hindi)

20 Finding domain and range part 4 (in Hindi)

23 Equal or identical functions part 2 (in Hindi)

21 Finding domain and range part 5 (in Hindi)

Classification of function on basis of same images and Range. One one, many one, onto and into functions. Proof by Mathematical expressions, graph, derivative test and number of such functions

24 Types of function, 1-1 function

25 Graphical method for one one function (in Hindi)

How to check a function is injective or not by using derivative test.
The best method to check whether a function is one one on not. And some solve previous year question with practice questions.

26 Derivative method for 1-1 function (in Hindi)

In this lessons we discuss about classification of functions, one one or injective function, many one functions, into functions , onto or surjective function in details.

27 One one, many one, onto and into functions (in Hindi)

Some solved problems on finding nature of function, check for injective, surjective and bijective function or one one , many one , into , onto functions

28 Problems on types of functions p1 (in Hindi)

29 Problems on types of functions p2 (in Hindi)

30 Problems on types of functions p3 (in Hindi)

Learn how to find total number of functions, one one, many one, into , onto functions in different cases with solved examples and general cases.
When num ef of elements in domain and codomain are same or different

31 Number of one one and onto functions (in Hindi)

How to find value of function from functional equation and use hit and trial to evaluate required result.

32 functional equations and solution

How to find value of function from functional equation and use hit and trial to evaluate required result sometime

33 Functional equations p2 (in Hindi)

Composition of functions
Uniformly defined and non uniformly defined functions
Domain , range and graphs for composite functions or product of function

34 Composition of uniform functions p1 (in Hindi)

35 Composition of uniform Functions p2 (in Hindi)

Composition of functions
Uniformly defined and non uniformly defined functions
Domain , range and graphs for composite functions or product of function with solved examples and questions from last years in IIT JEE

36 composition of non uniform Functions (in Hindi)

Learn how to check a function is homogeneous or not. And bounnded function with definitions and graphical methods by solved examples

37 Homogeneous and bounded functions

Learn how to check Implicit and Explicit functions.
And check EVEN and ODD functions using definition, graph and application in integration using graph and solved examples

38 Even ,Odd ,Implicit and Explicit functions

check for EVEN and ODD functions using definition, graph and application in integration using graph and solved examples asked in previous years in IIT JEE mathematics.

39 Even and Odd functions p2 (in Hindi)

Learn how to find inverse of a function, if it exist.
And some problems asked in JEE exams

40 Inverse of a function p1 (in Hindi)

Learn how to find inverse of a function, point of intersection of function and its inverse and And some problems asked in JEE exams

41 Inverse of a function p2 (in Hindi)

Learn all about Periodic functions and period of a function in details.
Methods to find period of any function, graphical significance of period and some problems asked in JEE exams

42 Period of a function p1 (in Hindi)

43 Period of a function p2 (in Hindi)

44 Period of a function p3 (in Hindi)

PYQs on functions part 2 (in Hindi)

PYQs on functions part 3 (in Hindi)

A Game Changer in Mathematics, produced multiple 100 percentilers, Air 33 & 34 (Main 2024), his courses are the Benchmark for IIT JEE 

Vineet Loomba

In this course, the educator targets the relations and binary operation part of Class Board exam. This is an important topic for boards. The course has been explained in the simplest manner as students find this topic a bit difficult.

Relations and Binary Operations: IIT JEE

Ashish Bajpai

Mastering Domain and Range Of Function is a course which will teach How to find Domain of various types of Expressions and there combinations. We will start from basic rules , we will learn various concepts by solving variety of Problems. After Learning Domain we will learn How to find Range of Function and we are going to learn various methods for finding Range.Lot of Problems will be discussed so that student becomes comfortable with both these concept which is very important for Calculus. This course requires knowledge of previous courses based on graphs and transformation of Graphs.

(Hindi ) Mastering Domain and Range of Function for IIT JEE

Education:-B.Tech from NIT SURAT,
teaching experience:-6+ years offline,
mentoring more than 2000 students for IIT-JEE.

Meva Ram 

This Comprehensive detailed course of Function is prepared according to IIT-JEE syllabus and covered all the subtopics from basic with many more Illustrations and PYQ.

(Hindi) Comprehensive Function for IIT-JEE ( Mains and Advanced)

B.tech Mechanical DTU ,
Cleared major Engineering Entrances 
like IIT-JEE , BITSAT , CBSE 94.8%
Cleared NDA , SSC CHSL 
Educator and Learner

Abhishek Bhardwaj

This course is about Graphs which are used to solve problems in maths effectively and easily. This course is aimed to provide beginner to medium level understanding of graphs.

Lessons

48 lessons • 10h 56m

Invalid Date

NaN

1 Course overview (in Hindi)

Invalid Date

NaN

2 Basics of Set and Cartesian product (in Hindi)

Invalid Date

NaN

4 Functions (in Hindi)

Invalid Date

NaN

6 Polynomial Functions (in Hindi)

Invalid Date

NaN

5 Domain of any Function (in Hindi)

Invalid Date

NaN

10 Signum Function (in Hindi)

Invalid Date

NaN

12 Exponential and Logarithm Functions (in Hindi)

Invalid Date

NaN

13 Mixed problems to Find Domain (in Hindi)

Invalid Date

NaN

14 Mixed problems for finding the domain (in Hindi)

Invalid Date

NaN

15 Fractional part of x {x} (in Hindi)

+ See all lessons