Consider the function f(x) = |x| in the interval

Consider the function f(x) = |x| in the interval –1 < x ≤ 1. At the point x = 0, f(x) is

1. continuous and differentiable
2. non-continuous and differentiable
3. continuous and non-differentiable
4. neither continuous nor differentiable

Given function is, f(x) = | x |
| x | is continuous at x = 0 but not differentiable.