Answer
The function is neither even nor odd.
Work Step by Step
$f(x)$ is even if $f(-x)=f(x).$ If so, it is symmetric relative to the y-axis.
$f(x)$ is odd if $f(-x)=-f(x).$ If so, it is symmetric relative to the origin.
-----
Replace x with $-x$ and check the result:
$f(-x)=(-x)^{2}-(-x)=x^{2}+x,$
which is neither $f(x)$ nor $-f(x)$.
The function is neither even nor odd.