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

Check whether the function 𝑓: 𝑅 β†’ 𝑅 defined as 𝑓(π‘₯) = π‘₯3 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 β†’ 𝑅 defined as 𝑓(π‘₯) = π‘₯3 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 is a graduate from Indian Institute of Technology, Kanpur. He has been teaching from the past 12 years. He provides courses for Maths and Science at Teachoo.