Intermediate Algebra for College Students (7th Edition)

Published by Pearson
ISBN 10: 0-13417-894-7
ISBN 13: 978-0-13417-894-3

Chapter 5 - Section 5.1 - Introduction to Polynomials and Polynomial Functions - Concept and Vocabulary Check - Page 323: 12

Answer

See below.

Work Step by Step

The leading coefficient test says that : -if the leading power is odd and the leading coefficient is positive, the graph falls to the left and rises to the right -if the leading power is odd and the leading coefficient is negative, the graph falls to the right and rises to the left -if the leading power is even and the leading coefficient is positive, the graph falls to the left and falls to the right -if the leading power is even and the leading coefficient is negative, the graph falls to the right and falls to the left Hence here $x^3$'s graph falls to the left and rises to the right. (see graph)
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