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Let f(x)={:{(max{t^(3)-t^(2)+t+1,0letlex...

Let `f(x)={:{(max{t^(3)-t^(2)+t+1,0letlex}",",0lexle1),(min{3-t,1lttlex}",",1ltxle2):}`and `g(x)={:{(max{3//8t^(4)+1//2t^(3)-3//2t^(2)+1","0letlex}","0lexle1),(min{3//8t+1//32sin^(2)pit+5//8","1letlex}1","lexle2):}`
The function `f(x),AAx in [0,2]` is

A

continuous and differentiable

B

continuous but not differentiable

C

discontinuous

D

None of the above

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