Answer
The function is odd.
Work Step by Step
The given function is
$\Rightarrow f(x)=-\frac{1}{2}x$
Substitute $-x$ for $x$.
$\Rightarrow f(-x)=-\frac{1}{2}(-x)$
Simplify.
$\Rightarrow f(-x)=\frac{1}{2}x$
Because $f(-x)=-f(x)$, the function is odd.
