help asap pls (1 question only)

1.) The function $\lfloor x\rfloor$ is defined as the largest integer less than or equal to $x$. For example, $\lfloor 5.67\rfloor = 5$, $\lfloor -\tfrac 14\rfloor = -1$, and $\lfloor 8\rfloor = 8$.What is the range of the function $$f(x) = \lfloor x\rfloor - x~?$$ Express your answer in interval notation.
 

$\text{Problem (with }\LaTeX)$

The function $\lfloor x\rfloor$ is defined as the largest integer less than or equal to $x$. For example, $\lfloor 5.67\rfloor = 5$, $\lfloor -\tfrac 14\rfloor = -1$, and $\lfloor 8\rfloor = 8$.What is the range of the function

$f(x) = \lfloor x\rfloor - x~?$

Express your answer in interval notation.