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AP EAMCET201823 Apr 2018Evening ShiftMathematicsFunctionsActual

If f: R A defined by f(x)= 1 x^2+2 x+2 , x R is surjective, then A=

Options

  1. A[1, ]
  2. B(1, )
  3. C[0,1]
  4. D(0,1]

Correct answer

D. (0,1]

Step-by-step solution

Since, the quadratic expression aligned & x^2+2 x+2=(x+1)^2+1 [1, ), x R & 1 (x+1)^2+1 (0,1] aligned For f(x)= 1 x^2+2 x+2 , x R is surjective, then set A=(0,1]

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