Multiple Choice Questions on Is the modulus function f x x be an one one function or not ........ for NDA Exam Preparation

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Multiple Choice Questions

Is the modulus function f x x be an one one function or not ........

Mathematics (NDA) Set theory
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    Is the modulus function f(x) = |x | be an one-one function or not ? 

    f is not defined  

    Incorrect Answer

    f is a one-one function  

    Incorrect Answer

    f is not a one-one function  

    Correct Answer

    None of these  

    Incorrect Answer
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    Explanation:

    Given ,  f(x) = |x |  

    f(-1) = |-1| = 1 

    f(1) = |1| = 1 

    Since , f(-1) =f(1) but 1 ≠ -1. 

    Therefore , f(x) = |x| is not an one-one function. 

    By: bhavesh kumar singh
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