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Let x = –1 and x = 2 be the critical points of the function f (x) = x 3 + ax 2 + blog e | x |+ 1, x ≠ 0. Let m and M respectively be the absolute minimum and the absolute maximum values of f in the interval ⎥ ⎦ ⎤ ⎢ ⎣ ⎡ − − 2 1 , 2 . Then |M + m| is equal to (Take log2 = 0.7) :

  1. 21.1
  2. 20.9
  3. 19.8
  4. 22.1

Correct answer: 21.1

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