RELATIONS & FUNCTIONS Exercise 1.2 | Q1 | Class 12 Maths NCERT Solutions | Prove ONE ONE, ONTO - Videos

May 2, 2017

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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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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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