Answer
even
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 $-x$ into $x$ to see what happens.
$f(-x)=2(-x)^4-(-x)^2\\
f(-x)=2\cdot(x^4)-x^2\\
f(-x)=2x^4-x^2\\
f(-x)=f(x)$
Therefore the function is even.
