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Black Book Advanced Problems in MathematicsMathematicsQuadratic Equation

Let f(x) = x^2 + ax + b . If the maximum and the minimum values of f(x) are 3 and 2 respectively for 0 x 2 , then the possible ordered pair of (a, b) is :

Options

  1. A(-2, 3)
  2. B(- 3 2 , 2)
  3. C(- 5 2 , 3)
  4. D(- 5 2 , 2) .

Correct answer

A. (-2, 3)

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