Rest-frame UV LFs derived for galaxies at z ~ 7 (magenta circles with 1σ errors) at z ~ 8 (open red circles), compared against similar LF determinations at z ~ 4 (blue), z ~ 5 (green), and z ~ 6 (cyan) from Bouwens et al. (2007). The z ~ 7 LF results incorporate the Bouwens et al. (2010c) NICMOS + ISAAC + MOIRCS search results (see Figure 10). The upper limits are 1σ. The magenta and red lines show the best-fit Schechter functions at z ~ 7 and z ~ 8. The uniformly steep faint-end slopes α of the UV LF are quite apparent. Most of the evolution in the UV LF from z ~ 8 to z ~ 4 appears to be in the characteristic luminosity (by ~1 mag).