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If f(x) = 2x + |x-x^2|, - 1 lex le1 the...

If `f(x) = 2x + |x-x^2|, - 1 lex le1 ` then f(x) is

A

continuous but not differentiable in [ -1 , 1]

B

continuous as well as differentiable in [ -1 ,1]

C

differentiable but not continuous in [ -1 ,1]

D

neither differentiable nor continuous in [ -1 , 1]

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The correct Answer is:
A
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