I believe this isn't an absolute value function, but rather a greatest integer function.  Can you clarify for us, is this absolute value or greatest integer?

First lets take a look at this problem. Y equals the absolute value of x. Therefore the absolute value means x is any non-negative value. Now lets placee some numbers into the equation. If x = 1, than y = 1 If x = 0, than x = 0 If [x] = -1, than y = 1 When you graph this equation, you will only stay in quadrant 1 and 2. The line will rise by a slope of one from 0 and continue straight. This line will be reflected in the second quadrant starting once again from zero and going up.