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Black Book Advanced Problems in MathematicsMathematicsFunctions

Match the functions in Column I with their properties in Column II. array |l|l| Column-I & Column-II (A) f(x) = x |x| & (P) Continuous everywhere (B) f(x) = x|x| & (Q) Discontinuous at x=0 (C) f(x) = [x] & (R) Non-differentiable at x=0 (D) f(x) = (|x|) & (S) Discontinuous at integer points array

Options

  1. A(a) (A) (P); (B) (Q); (C) (R); (D) (S)
  2. B(b) (A) (Q); (B) (P); (C) (S); (D) (R)
  3. C(c) (A) (R); (B) (S); (C) (P); (D) (Q)
  4. D(d) (A) (S); (B) (R); (C) (Q); (D) (P)

Correct answer

A. (a) (A) (P); (B) (Q); (C) (R); (D) (S)

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