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Determine the values of x for which the following functions fails to be continuous or differentiable `f(x) = {{:((1-x)",",x lt 1),((1-x)(2-x)",",1 le x le 2),((3-x)",",x gt 2):}` justify your answer.

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The correct Answer is:
f is continuous and differentiable at all points except at x=2
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