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If f(x)=|x|+|x-1|+|x-2| then which one o...

If f(x)=|x|+|x-1|+|x-2| then which one of the following is not correct?
(A) f(x) has a minimum at x=1
(B) f(x) has a minimum at x=0
(C) f(x) has neither a maximum nor a minimum at x=0
(D) f(x) has neither a maximum nor a minimum at x=2

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