College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 2 - Summary, Review, and Test - Review Exercises - Page 324: 23


The function is even and has symmetry with respect to the y-axis.

Work Step by Step

f(x)=x$^4$-2x$^2$+1 f(-x)=(-x)$^4$-2(-x)$^2$+1 f(-x)=x$^4$-2x$^2$+1 -f(x)=-(x$^4$-2x$^2$+1) -f(x)=-x$^4$+2x$^2$-1 Since f(-x)=f(x), the function is even. Even functions have symmetry with respect to the y-axis.
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