The function⌊x⌋is defined as the largest integer less than or equal to x . For example, ⌊5.67⌋=5, ⌊−14⌋=−1, and ⌊8⌋=8 .
What is the range of the function f(x)=⌊x⌋−x Express your answer in interval notation
It's from (-1, 0].
If x is an integer, then [x] - x = 0.
If x is a decimal, then [x] - x is the negative of the fractional part of x.