Answer
The function is an odd function.
Work Step by Step
A function is even when it is symmetric about the $y\text{-}$ axis.
A function is odd when it is symmetric about the origin.
A function that is not symmetric about the origin or the $y\text{-}$ axis is neither an even function nor an odd function.
The graph is clearly symmetrical about the origin; hence, the function $f\left( x \right)$ is an odd function.
Hence, the function is an odd function.