Question

Determine whether the following is even or odd

$f\left(x\right)=\text{sgn}\left(x\right)+x^2$

• A. neither even nor odd
• B. even
• C. odd
• D. odd and periodic

Answer 1

The correct option is A neither even nor odd

$x^2$ is an even function, however $\text{sgn}\left(x\right)$ is an odd function.
Hence the above function is neither odd nor even.