Algebra and Trigonometry 10th Edition

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

Chapter 2 - P.S. Problem Solving - Page 239: 5


f(x) is even

Work Step by Step

In f(x), all the terms in the polynomial have powers of x as multiples of 2. Hence, f(x)=f(-x), for replacing x with -x in the polynomial will result in exactly the same terms as $x^{2k}=(-x)^{2k}$ for k =2,4,....,2n (k is even). Hence the function is even.
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