1. Given the function f(x) = (2x-1, x ≤ 1, x², x>1)
Which of the following statements is/are true?
A. f is continuous and differentiable for all x.
B. f is continuous but not differentiable at x = 1.
C. f'(x) = 2 for all x.
D. f'(x) = 2x for all x.