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If $f(x) = x^3 - 4x + p$, and $f(0)$ and $f(1)$ are of opposite signs, then which of the following is necessarily true?

1. -1 < p < 2
2. 0 < p < 3
3. -2 < p < 1
4. -3 < p < 0

f(0) = p  and   f(1) = p-3

Since f(0) and f(1) are of opposite signs, hence p(p-3) < 0 So correct option should be (2).