Check whether the function ๐‘“: ๐‘… → ๐‘… defined as ๐‘“(๐‘ฅ) = ๐‘ฅ3 is one-one or not.

Check whether the function defined as f(x) = x^3 is one-one or not

Question 1 (Choice 1) - CBSE Class 12 Sample Paper for 2021 Boards - Part 2

 

  1. Class 12
  2. Solutions of Sample Papers and Past Year Papers - for Class 12 Boards

Transcript

Question 1 (Choice 1) Check whether the function ๐‘“: ๐‘… โ†’ ๐‘… defined as ๐‘“(๐‘ฅ) = ๐‘ฅ3 is one-one or not. f(x) = x3 Checking one-one f(x1) = (x1)3 f(x2) = (x2)3 Thus, f (x1) = f (x2) (x1)3 = (x2)3 โˆด x1 = x2 Since if f(x1) = f(x2) , then x1 = x2 โˆด It is one-one

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Davneet Singh
Davneet Singh is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 10 years. He provides courses for Maths and Science at Teachoo.