Let f be the function defined by f(x) = √(|x| - 2) for all x. Which of the following statements best describes the relationship between differentiability and continuity?
a) f is continuous and differentiable at x = 2.
b) f is continuous but not differentiable at x = 2.
c) f is neither continuous nor differentiable at x = 2.
d) f is differentiable but not continuous at x = 2.