Let . Determine a one–unit interval within that is guaranteed to contain at least one…

MATHEMATICS · Subjective · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Let f(x)=x3−4x+1f(x)=x^{3}-4x+1. Determine a one–unit interval [m,m+1][m,m+1] within [−1,3][-1,3] that is guaranteed to contain at least one real root of the equation f(x)=0f(x)=0.

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