The function $f(x) = |x - 2| + |x|$ is ...

Question

Continuous at $x = 2$ but not at $x = 0$.

Continuous at both $x = 2$ and $x = 0$.

Differentiable at both $x = 2$ and $x = 0$.

Differentiable at $x = 2$ but not at $x = 0$.

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