Answer
This function is odd.
Work Step by Step
$f(x)=x\sqrt{1-x^{2}}$
Substitute $x$ by $-x$ in $f(x)$ and simplify:
$f(-x)=-x\sqrt{1-(-x)^{2}}=-x\sqrt{1-x^{2}}$
Since $f(-x)=-f(x)$, this function is odd.
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