We present the first X-ray Luminosity Function (XLF) for an optically-selected sample of 49 nearby poor clusters of galaxies and a sample of 67 Abell clusters with z < 0.15. We have extended the measured cluster XLF by more than a factor of 10 in X-ray luminosity. Our poor cluster sample was drawn from an optical catalog of groups with 0.01<z<0.03 composed of Zwicky galaxies. The X-ray emission was measured from the ROSAT all-sky survey. About 45% of the poor clusters were detected with 0.5-2.0 keV luminosities from (1.7-65)x 10^{41} h^{-2} ergs/sec. These are among the X-ray brightest, optically-selected poor clusters in the northern hemisphere. For this sample, the poor cluster XLF was found to be smooth extrapolation of the rich cluster XLF. A new Hydro/N-body simulation of a Hot +Cold dark matter model with Omega_{total}=1, Omega_{ u}=0.2, and a baryon fraction of 7.5% was used to model and understand our observational selection effects. We found that the observed cluster Gas Mass Function was consistent with our model.
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