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A polynomial takes a negative value at 3 and a positive value at 4, so between them it must:
ACopy its shape
BCross the axis
CChange its degree
DCurve back down
Answer & Solution
Correct answer: B. Cross the axis
1. Polynomial graphs are smooth and continuous.
2. Getting from below the axis to above it leaves no way around.
3. By the Intermediate Value Theorem it must cross the axis.
_Source: OpenStax Precalculus 2e, Chapter 3, Polynomial and Rational Functions._
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