Algebra and Trigonometry 10th Edition

Published by Cengage Learning
ISBN 10: 9781337271172
ISBN 13: 978-1-33727-117-2

Chapter 2 - 2.3 - Analyzing Graphs of Functions - 2.3 Exercises - Page 196: 71

Answer

Even function; symmetry about the y-axis

Work Step by Step

$f(x) = x^6-2x^2+3$ $f(-x) = (-x)^6-2(-x)^2+3=x^6-2x^2+3$ f(x) = f(-x), hence the function is even and symmetric about the y-axis.
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