1. Chapter 1 Class 12 Relation and Functions
  2. Serial order wise
  3. Miscellaneous
Check sibling questions

Misc 2 - Chapter 1 Class 12 Relation and Functions

Last updated at Dec. 16, 2024 by Teachoo

Transcript

Misc 2 Show that the function f: R → R given by f(x) = x3 is injective. f(x) = x3 We need to check injective (one-one) f (x1) = (x1)3 f (x2) = (x2)3 Putting f (x1) = f (x2) (x1)3 = (x2)3 x1 = x2 Since if f (x1) = f (x2) , then x1 = x2 ∴ It is one-one (injective) Rough One-one Steps: 1. Calculate f(x1) 2. Calculate f(x2) 3. Putting f(x1) = f(x2) we have to prove x1 = x2
  1. Chapter 1 Class 12 Relation and Functions
  2. Serial order wise

    3. Miscellaneous

    Case Based Questions (MCQ) →
Case Based Questions (MCQ) →
Chapter 1 Class 12 Relation and Functions
Serial order wise

About the Author

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 14 years. He provides courses for Maths, Science and Computer Science at Teachoo