Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 5 Polynomials and Polynomial Functions - 5.2 Evaluate and Graph Polynomial Functions - 5.2 Exercises - Skill Practice - Page 342: 36

Answer

The function will approach negative infinity as x approaches infinity, and the function will approach positive infinity as x approaches negative infinity.

Work Step by Step

This is an odd function, so we know that the function will have different infinite limits at positive infinity and negative infinity. The leading coefficient of the highest power is negative, so it follows that the function will approach negative infinity as x approaches infinity, and the function will approach positive infinity as x approaches negative infinity.
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