  From a statistically complete sample of 188 radio galaxies in Abell clusters,
we examine the radio/optical correlations, the FR I/II division, and the
univariate and bivariate luminosity functions. As suggested by Owen (1993), the
FR I/II division is shown to be a strong function of the optical luminosity of
the host galaxy (proportional to L_opt^2). This dependence is also seen in the
bivariate luminosity function, which suggests that the evolutionary tracks of
radio sources and/or the initial conditions in the source are governed by the
host galaxy properties. The probability for detecting radio emission increases
with optical luminosity. The optical dependence is clearly separated in the
integral luminosity functions which can be used as a constraint to models of FR
I radio power evolution. Additionally, the source counts from the integrated
univariate radio luminosity function (RLF) are consistent with our suggestion
in paper V that radio sources may be a transient phenomenon which occurs in all
elliptical galaxies at some time (or several times) over their lifetime. We
find no statistically significant differences in the luminosity functions
between rich cluster samples and radio sources not selected to reside in
clusters. These results suggest that all radio galaxies live in similar
environments in that the optical luminosity and the properties of the host
galaxy are the most important parameters which affect radio source formation
and evolution.
