Question:
If f(x)=∣x∣+∣x−1∣, then which of the following is correct?
- A. f(x) is both continuous and differentiable, at x=0 and x=1.
- B. f(x) is differentiable but not continuous, at x=0 and x=1.
- C. f(x) is continuous but not differentiable, at x=0 and x=1.
- D. f(x) is neither continuous nor differentiable, at x=0 and x=1.