Using a discrete ColorFunction [closed]

Question

I'm finding strange behavior with ColorFunction. Say I want to color a plot to indicate the sign of abscissa (this is a simplification of a more complex plot I'd like to do):

Plot[
 Log[Abs[x]],
 {x, -2, 2},
 ColorFunction -> Function[{x, y}, Hue[\[Piecewise] {
      {0.7, x > 0},
      {0.0, x <= 0}
     }]]
 ]

It doesn't color the negative branch red as I would like, although if you look closely it colors the very first point red:

It also doesn't work for the second argument either, and I don't understand the behavior:

Plot[
 Floor[x],
 {x, -2, 2},
 ColorFunction -> Function[{x, y}, Hue[\[Piecewise] {
      {0.7, y > 0},
      {0.0, y < 0}
     }]]
 ]

Changing only the domain, to plot from -5 to 5: