Match List-I with List-II

List-I (Function)	List-II (Property)
(A) \(f(x)=\left\{\begin{array}{ll}\frac{x}{|x|} & : x \neq 0 \\ 0 & : x=0\end{array}\right.\)	(I) continuous but not differentiable at  \(x=0\)
(B) \(f ( x )=| x |\)	(II) continuous but not differentiable at \(x=1\)
(C) \(f(x)=\left|x^2-1\right|\)	(III) discontinuous at \(x=0\)
(D) \(f(x)=|x-1|\)	(IV) continuous but not differentiable at \(x=1,-1\)

Choose the correct answer from the options given below:

1. A (A) - (III), (B) - (I), (C) - (IV), (D) - (II)
2. B (A) - (IV), (B) - (I), (C) - (II), (D) - (III)
3. C (A) - (III), (B) - (I), (C) - (II), (D) - (IV)
4. D (A) - (IV), (B) - (III), (C) - (I), (D) - (II)