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AP EAMCET201726 Apr 2017Morning ShiftMathematicsFunctionsActual

Let A= -4,-2,-1,0,3,5 and f: A R be defined by f(x)= array ccc 3 x-1 & for & x>3 x^2+1 & for & -3 x 3 2 x-3 & for & x < -3 array . Then the range of f is

Options

  1. A-11,5,2,1,10,14
  2. B-11,-7,2,1,8,14
  3. C-11,5,2,1,8,14
  4. D-11,-7,-5,1,10,14

Correct answer

A. -11,5,2,1,10,14

Step-by-step solution

Here, function is defined for f: A R f(x)= array ccc 3 x-1 & for & x>3 x^2+1 & for & -3 x 3 2 x-3 & for & x < -3 array . and A= -4,-2,-1,0,3,5 aligned & f(-4)=2(-4)-3=-11 & f(-2)=(-2)^2+1=4+1=5 aligned aligned & f(-1)=(-1)^2+1=1+1=2 & f(0)=0^2+1=1 & f(3)=3^2+1=10 & f(5)=3(5)-1=14 aligned Hence, range of f is -11,5,2,1,10,14 .

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