In the framework of noncompact lattice QED with light fermions, we derive the functional dependence of the average energy per plaquette on the bare parameters using block-spin Renormalization Group arguments and assuming that the renormalized coupling vanishes. Our numerical results for this quantity in 8(4) and 10(4) lattices show evidence for triviality in the weak coupling phase and point to a nonvanishing value for the renormalized coupling constant in the strong coupling phase.