How is the kinetic energy of a photoelectron related to the frequency and intensity of radiation?

The kinetic energy of the photoelectron is independent of the intensity. The intensity is proportional to the NUMBER of photons per second, not their energy. The higher the frequency of the light( provided it is grater than f0) the greater the photon energy (hf) so the greater the maximum photoelectron KE. hf=KE max +work function.