Mathematics · Continuity and Differentiability
Match the functions in Column I with their properties in Column II. Here [x] denotes the greatest integer less than or equal to x. Column I A) x|x| B) √|x| C) x + [x] D) |x - 1| + |x + 1| + |x| Column II I. Strictly increasing and continuous in (-1, 1) II. Continuous but not differentiable in (-1, 1) III. Differentiable in (-1, 1) IV. Differentiable in (-1, 0) ∪ (0, 1) V. Strictly increasing and not differentiable in (-1, 1) The correct match is:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1A-IV, B-I, C-V, D-III
- 2A-I, B-II, C-V, D-IV✓
- 3A-II, B-III, C-I, D-V
- 4A-III, B-V, C-II, D-I
Correct answer
A-I, B-II, C-V, D-IV
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