Match the functions in Column I with their properties in Column II. In the following [ {\x}] denotes the greatest integer less than or equal to x Column I Column II A) x|x| I. Strictly increasing and continuous in (-1,1) B) \sqrt{|x|} II. Continuous but not differentiable in (-1,1) C) x+[x] III. Differentiable in (-1,1) D) |x-1|+|x+1|+|x| IV. Differentiable in (-1,0) \cup(0,1) V. Strictly increasing and not differentiable in (-1,1) The correct match is [AP EAPCET 21 May 2025 S1]

Correct Answer is : A-I, B-II, C-V, D-IV

Limits Continuity and Differentiability

Section: Mathematics

Question : 18 of 61

Marks: +1, -0

Match the functions in Column I with their properties in Column II. In the following [x] denotes the greatest integer less than or equal to x

Column I	Column II
A) x\|x\|	I. Strictly increasing and continuous in (−1,1)
B) √\|x\|	II. Continuous but not differentiable in (−1,1)
C) x+[x]	III. Differentiable in (−1,1)
D) \|x−1\|+\|x+1\|+\|x\|	IV. Differentiable in (−1,0)∪(0,1)
	V. Strictly increasing and not differentiable in (−1,1)

The correct match is

[AP EAPCET 21 May 2025 S1]

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