Answer
The function is neither even nor odd.
Work Step by Step
The given function is
$\Rightarrow h(x)=3x^2-2x$
Substitute $-x$ for $x$.
$\Rightarrow h(-x)=3(-x)^2-2(-x)$
Simplify.
$\Rightarrow h(-x)=3x^2+2x$
Because $h(-x)\neq-h(x)$ and $h(-x)\neq h(x)$, the function is neither even nor odd.