College Algebra (6th Edition)

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

Chapter 3 - Polynomial and Rational Functions - Exercise Set 3.1 - Page 347: 104


See below.

Work Step by Step

We know that if a function is odd, then $f(-x)=-f(x).$ We know that if a function is even, then $f(-x)=f(x).$ Hence we plug in $-x$ to see what happens. $f(-x)=(-x)^4-2(-x)^2+1=x^4-2x^2+1=f(x).$ Therefore the function is even, thus it is symmetric to the y-axis.
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