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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
[CAT 2004]
-1 < p < 2
0 < p < 3
-2 < p < 1
-3 < p < 0
f(1) = 1-4+p = p-3 f(0) = p Since they are of opposite signs, p(p-3) < 0 => 0 < p < 3
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