College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 3 - Section 3.4 - Library of Functions; Piecewise-defined Function - 3.4 Assess Your Understanding - Page 247: 68

Answer

The exponents are positive even integers. They all have the same general shape ( U-shape, opening upward). They all pass through the origin and $(\pm 1,1)$ As the exponent gets larger, the graph becomes narrower for $|x|\gt 1,$ and for $|x|\lt 1$, the graph flattens out (toward the origin).

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