Function signs

CMAT 2019 · QTDI · Medium · Functions

If f(x)=x34x+pf(x) = x^3 - 4x + p and f(0)f(0) and f(1)f(1) are of opposite signs, which one of the following is necessarily true?

  1. A.

    1<p<2-1 < p < 2

  2. B.

    0<p<30 < p < 3

  3. C.

    2<p<1-2 < p < 1

  4. D.

    3<p<0-3 < p < 0

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