AP

MATHEMATICS · Multi correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Let f(x)=8x3−6x2−2x+1f(x)=8x^3-6x^2-2x+1. Then (1) f(x)=0f(x)=0 has no root in (0,1)(0,1). (2) f(x)=0f(x)=0 has at least one root in (0,1)(0,1). (3) f′(c)f'(c) vanishes for some c∈(0,1)c\in(0,1). (4) None of the above.

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