A) Continuous at all \[x,\] \[0\le x\le 2\] and differentiate at all x, except x = 1 in the interval [0, 2]
B) Continuous and differentiable at all x in [0, 2]
C) Not continuous at any point in [0, 2]
D) Not differentiable at any point [0, 2]
E) None of these
Correct Answer: A
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