please help me with this question

The figure above shows the graph of a function f, which has a vertical tangent at I = 4 and a horizontal tangent at z = 5. Which of the following statements is false? A f is not differentiable at r = 2 because the graph of f has a jump discontinuity at c = 2. B f is not differentiable at I = 4 because the graph of f has a vertical tangent at I = 4 C f is not differentiable at I = 5 because the graph of f has a horizontal tangent at = = 5. D f is not differentiable at = 7 because the graph of f has a removable discontinuity at r = 7