- #1

peripatein

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## Homework Statement

Is the function f(x)=x-floor function monotonous? For which intervals does it increase/decrease?

## Homework Equations

## The Attempt at a Solution

Since for every x and y, x-floor function (x) is not necessarily greater/smaller than y-floor function (y), the function cannot be monotonous. For instance, x=3.5 and y=2.8. 0.5 < 0.8. On the other hand, when x=3.9 and y=2.8 0.9 > 0.8.

What about increasing/decreasing intervals? Are there none?