Question: Why f(x) is differentiable and continuous in graph3 but not in graph1 and 2 and how to judge whether f(x) is continuous and differentiable? fff

Why f(x) is differentiable and continuous in graph3 but not in graph1 and 2 and how to judge whether f(x) is continuous and differentiable?

Why f(x) is differentiable and continuous in graph3 but not in graph1and 2 and how to judge whether f(x) is continuous and differentiable?\f\f\f

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