Define {x} = x-(floor of x) . That is to say , {x } is the "fractional part" of x. For example, if you were to expand a positive number x as a decimal, {x} is the stuff after the decimal point. For example {3/2} = 0.5

Now, using the above definition, determine if the function below is increasing, decreasing, even, odd, and/or invertible on its natural domain:

f(x)=floor(x)-{x}

For each property, write inCreasing, Decreasing, Even, Odd, inVertible in that order (alphabetical).

Guest Apr 12, 2022