A discussion of relativistic bremsstrahlung cross sections is given for incident-electron kinetic energies in the range 5 keV-1 MeV, based on an exact numerical calculation using screened potentials. Comparisons are made with previous authors' results, extending the discussion of a preliminary note. Exact point-Coulomb and Born-approximation results are contrasted. The present results show that the Born approximation significantly underestimates the bremsstrahlung cross sections in the energy region considered. Screening effects are somewhat larger than expected, and when large are not well described by a form factor.