Question 9
The function $f$ is defined by $$
f(x) = \lfloor|x|\rfloor - |\lfloor x \rfloor|
$$ for all real numbers $x,$ where $\lfloor r \rfloor$ denotes the greatest integer less than or equal to the real number $r.$ What is the range of $f?$
f(x) = \lfloor|x|\rfloor - |\lfloor x \rfloor|
$$ for all real numbers $x,$ where $\lfloor r \rfloor$ denotes the greatest integer less than or equal to the real number $r.$ What is the range of $f?$