Question

Determine the nature of the following functions for even and odd
$f\left(x\right)=x^2-\left[x\right]$

Answer 1

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

$f(-x)=(-x{)}^2-[-x]$

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

$\therefore$ even function.