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Black Book Advanced Problems in MathematicsMathematicsContinuity and Differentiability

Let f(x) be a polynomial satisfying _ x x^4 f(x) x^8 + 1 = 3f(2) = 5, f(3) = 10, f(-1) = 2, f(-6) = 37 The number of points of discontinuity of g(x) = 1 x^2 + 1 - f(x) in [ -15 2 , 5 2 ] equals :

Options

  1. A4
  2. B3
  3. C1
  4. D0

Correct answer

B. 3

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