If f(x) = \(x^3 - 4x + p\)and f(0) and f(1) are of oppo

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If f(x) = \(x^3 - 4x + p\)and f(0) and f(1) are of opposite signs, Which one of the following is neccessarily true?

[MBA CMAT 2019]

A -1 < p < 2

B 0 < p < 3

C -2 < p < 1

D -3 < p < 0