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.

lolzforlife Apr 27, 2019