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AP EAMCET202123 Aug 2021Evening ShiftMathematicsFunctionsActual

Define f: R R by f(x)= x+1,1-x, 2 . Then, f is

Options

  1. Aone-one but not onto
  2. Bonto but not one-one
  3. Cneither one-one nor onto
  4. Dboth one-one and onto

Correct answer

C. neither one-one nor onto

Step-by-step solution

f: R Rf(x)= x+1,1-x, 2 Since, f(x) contains 2 in range when domain is [-1,1] Hence, it is not one-one. Since, f(x) does not take any value less than 2 in it's domain. Hence, Codomain Range f(x) is not onto. Hence, f(x) is neither one-one nor onto.

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