Question

Determine whether the following is even or odd

$f\left(x\right)=x^2-|x|$

• A. $f\left(x\right)$ is even
• B. $f\left(x\right)$ is odd
• C. $f\left(x\right)$ is neither even nor odd
• D. $f\left(x\right)$ is even and periodic

Answer 1

The correct option is A $f\left(x\right)$ is even

$f\left(x\right)=x^2-|x|$ is symmetric about $y$-axis.
Therefore, $f\left(x\right)=f(-x)$
Hence, it is an even function.