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A Function y=f(x) is defined on [0,6] as...

A Function y=f(x) is defined on [0,6] as `f(x)= { underset(2 " ", " "4le x le6)underset((x-3)^(3)" "," "1ltxlt4)(-8x " ", " "0lexle1).`
Show that for the function y=f(x) all the three conditions of Rolle's theorem are violated on [0,6] but still f(x) vanishes at a point in (0,6)

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