Answer
The function is an even function.
Work Step by Step
A function is said to be even if is symmetric about the $y\text{-}$ axis.
A function is said to be odd function if 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.
From the above graph it is clearly symmetrical about the $y\text{-}$ axis; hence, the function $f\left( x \right)$ is an even function.
Hence, the function is an even function.
