Check whether the function 𝑓: 𝑅 → 𝑅 defined as 𝑓(𝑥) = 𝑥3 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

 

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Transcript

Question 1 (Choice 1) Check whether the function 𝑓: 𝑅 → 𝑅 defined as 𝑓(𝑥) = 𝑥3 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 ∴ x1 = x2 Since if f(x1) = f(x2) , then x1 = x2 ∴ It is one-one

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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