Answer
Cannot be a graph of a polynomial function.
Work Step by Step
It is discontinous at $x=-1$, hence it cannot be a polynomial function, because all polynomial functions are continous on their whole domain.
Precalculus (10th Edition)
by Sullivan, Michael
Published by
Pearson
ISBN 10:
0-32197-907-9
ISBN 13:
978-0-32197-907-0
Chapter 4 - Polynomial and Rational Functions - 4.1 Polynomial Functions and Models - 4.1 Assess Your Understanding - Page 185: 71
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