In this videos, we will a very important concept in which most of the students faces difficulty that is, how to prove whether a function is ONE-ONE and ONTO.
We will understand in a very simple way, how ONE-ONE and ONTO functions are defined:
A function f:X→Y is ONE-ONE, if the IMAGES of distinct elements in X are DISTINCT.
A function f:X→Y is ONTO, if every element of Y is the IMAGE of some element of X
A function f:X→Y is ONTO, if for every y∈Y, there exists an element in x, such that f(x)=y.
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Class 12 NCERT Exercise 1.2 Questions 1 is discussed in this video.
Show that the function f:R_*→R_* be defined as: f(x)=1/x is one-one and onto, where R_* is the set of non-zero real numbers. Is the result true, if the domain R_* is replaced by N with codomain being same as R_*?
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Some Important Links are given below:
MATHEMATICAL REASONING IIT JEE Concepts Playlist Link
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Sum of Series IIT JEE Concepts Playlist Link
Permutation and Combination IIT JEE Concepts Playlist Link
Binomial Theorem IIT JEE Concepts Playlist Link
Complex Numbers Maximum and Minimum Value IIT JEE Concepts Playlist Link
Physics Formulae Revision Playlist Link
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Relations and functions, Class 12, NCERT 12 Maths Ex 1. Ch 1 Relations & Functions hints & solutions, Relations and functions CBSE Class 12, One one function, Onto function, Into Function, Many one function, How to prove a function is Surjective, How to prove a function is Injective function, How to prove a function is Bijective function, Function One One, Onto – IIT JEE Main and Advanced Mathematics Video Lecture, One One (Injective) & Onto (Surjective) , Bijective Function | CBSE 12 Maths NCERT Ex 1.2 intro
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