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

English

Functions: 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

Course overview

Domain and range of Trigonometric functions

Greatest integer functions, graphs , domain, range and solved examples

Greatest integer function [x]

Basics of set and relations

Functions,  all about functions, graphs , domain, range and much more

Functions

Signum functions, graphs , domain, range and solved examples

Signum function

Exponential, logarithmic functions, graphs , domain, range and solved examples

Exponential and logarithmic functions

Basics of domain

Modulus functions, graphs, domain, range and technique to draw graph for any modulus function

Modulus functions

Polynomial functions, graphs, domain and range for them. Domain and range for 1/Linear and Linear/Linear polynomial

Polynomial function

Fractional part of x {x}

Finding Domain and Range part 2

Algebraic and transcendental functions

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

Finding Domain and Range part 1

Fractional part of x continued

Relation and types

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 ,linear and linear/linear

Finding domain and range part 4

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

Equal or identical functions part 2

Finding Domain and Range Part 3

Problems Domain range part 1

Mixed problems for Domain and Range part 2

Equal or identical functions part 1

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

Types of function , 1-1 function

Finding Domain and range part 5

Graphical method for one one function

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.

One one, many one , onto and into functions

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.

Derivative method for one one function

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

Problems on types of functions p1

Problems on types of functions p2

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

Number of one one and onto functions

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

Functional equation and solution

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

Functional equations p2

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

Composition of uniformly defined functions p1

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

Composition of uniformly defined Functions p2

Composition of non uniformly defined functions

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

Homogeneous and bounded functions

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

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

Even and odd functions p2

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

Inverse of a function p1

Inverse of a function p2

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

Period of a function p1

Period of a function p2

Period of a function p3

PYQs on functions part 1 (in Hindi)

PYQs on functions part 1

PYQs on functions part 2

PYQs on functions part 3

An IIT-Delhi alumnus, mentor to top AIRs like 12 & 24, a specialist in Calculus, former faculty at Bansal Classes, Vibrant Academy & Etoos.

Manoj Chauhan

In this course we look into What is a relation, Cartesian product, Functions (highly important for IIT-JEE)

(Hindi) Relations and Functions: IIT JEE

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

This course covers all topics of functions which are asked in IIT JEE advance level papers in Maths section, the course is meant for 11th to 12th moving students, class 12th students and repeaters.

(Hindi) Pre-Requisites for Functions & Calculus and Mini Calculus: IIT JEE Advanced Level

The most important topic in maths IIT JEE is functions. Detailed explanation,tips to remember, tricks to solve all types of questions based upon functions have been taken by MC sir.

Lessons

47 lessons • 9h 52m

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Course overview

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Domain and range of Trigonometric functions

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Greatest integer function [x]

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Basics of set and relations

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Functions

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Signum function

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Exponential and logarithmic functions

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Basics of domain

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Modulus functions

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Polynomial function

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