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NDA2015MathematicsFunctionsActual

For each non-zero real number x , let f(x)= x |x| . The range of f is

Options

  1. Aa null set
  2. Ba set consisting of only one element
  3. Ca set consisting of two elements
  4. Da set consisting of infinitely many elements

Correct answer

C. a set consisting of two elements

Step-by-step solution

For a non-zero real number x f(x)= x |x| domain f(x)= x |x| range for any value of x in domain a set consisting of two elements i.e. (– 1, + 1) Option (C) is correct.

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