Скачать или смотреть Relation & Function Class 12 | Exercise 1.2 Question 3 | NCERT Solution 2024

Relation & Function Class 12 | Exercise 1.2 Question 3 | NCERT Solution 2024

Welcome to Epselon! In this video, we dive deep into the fascinating world of mathematical functions as we solve Question 3 from Exercise 1.2 of the Class 12 NCERT textbook, focusing on the topic of Relations and Functions. This question challenges us to explore the nature of the Greatest Integer Function f : R → R , defined by f (x) = [x], represents the greatest integer less than or equal to x. Specifically, we aim to prove that this function is neither one-one (injective) nor onto (surjective).

I hope this explanation has clarified your doubts and enhanced your comprehension of the Greatest Integer Function. If you enjoyed this video, don't forget to like, share, and subscribe to Epselon for more educational content.

Question 3:
Prove that the Greatest Integer Function f : R → R , given by f (x) = [x], is neither one-one nor onto, where [x] denotes the greatest integer less than or equal to x.

Timestamps

00:00 - Introduction and Problem Statement
00:50 - Solution
02:27 - Proving One-One Function
04:28 - Proving Onto Function
06:36 - End

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Keys:
prove that the greatest integer function defined by f(x)= x is neither one one nor onto,
prove that the greatest integer function defined by f(x)= x,

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