Answer
Even
Work Step by Step
$f(-x)=\frac{(-x)^{2}}{(-x)^{4}+1}=\frac{x^{2}}{x^{4}+1}=f(x)$.
Because $f(-x)=f(x)$ it follows that $f$ is even.
Graph is attached.
You can help us out by revising, improving and updating this answer.
Update this answerAfter you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.