## College Algebra (6th Edition)

Published by Pearson

# Chapter 2 - Functions and Graphs - Exercise Set 2.2: 24

#### Answer

The function is even.

#### Work Step by Step

$f(x)=2x^{2}+x^{4}+1$ Substitute $x$ by $-x$ in $f(x)$ and simplify: $f(-x)=2(-x)^{2}+(-x)^{4}+1$ $f(-x)=2x^{2}+x^{4}+1$ Since $f(x)=f(-x)$, the function is even

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