Let f : ℝ → ℝ and g : ℝ → ℝ be functions defined by f(x) = x|x| sin(1/x) for x ≠ 0 and f(0) = 0; and g(x) = 1 − 2x for 0 ≤ x ≤ 1/2 and g(x) = 0 otherwise. Let a, b, c, d ∈ ℝ. Define h : ℝ → ℝ by h(x) = af(x) + b(g(x) + g(1/2 − x)) + c(x − g(x)) + dg(x), x ∈ ℝ. Match each entry in List-I to the correct entry in List-II. List-I: (P) if a = 0, b = 1, c = 0, d = 0; (Q) if a = 1, b = 0, c = 0, d = 0; (R) if a = 0, b = 0, c = 1, d = 0; (S) if a = 0, b = 0, c = 0, d = 1. List-II: (1) h is one-one, (2) h is onto, (3) h is differentiable on ℝ, (4) the range of h is [0, 1], (5) the range of h is {0, 1}. The correct option is