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Let f 1 : R → R, f 2 : [0, ∞ ) → R, f 3 : R → R and f 4 : R → [0, ∞ ) be defined by f 1 (x) = ⎩ ⎨ ⎧ ≥ < ; 0 x if , 0 x if e | x | x f 2 (x) = x 2 ; f 3 (x) = ⎩ ⎨ ⎧ ≥ < 0 x if , 0 x if x x sin and f 4 (x) = ⎩ ⎨ ⎧ ≥ < 0 x if , 0 x if 1 – )) x ( f ( f )) x ( f ( f 1 2 1 2 List I List II P. f 4 is 1. onto but not one-one Q. f 3 is 2. neither continuous nor one-one R. f 2 of 1 is 3. differentiable but not one-one S. f 2 is 4. continuous and one-one P Q R S

1. 3 1 4 2
2. 1 3 4 2
3. 3 1 2 4
4. 1 3 2 4

Correct answer: 1 3 2 4

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