Upper diagram: LF of 1) starburst galaxies with a birthrate parameter b > 3; 2) starburst galaxies with a mass fraction of the burst f_burst > 3%; 3) postburst galaxies; 4) AGNs in the emission-line galaxy sample; 5) the full galaxy LF of the local universe as derived by Blanton et al. (2001). The sampling completeness limit based on the apparent spectroscopic limit M_r = 17.5 and the redshift limit z = 0.02 is indicated with a vertical hatched line. Lower diagram: the relative fraction of the different samples with regards to the total LF, as a function of absolute magnitude. The vertical bars are standard deviations. Please notice that we have assumed (for purely technical reasons) that the Blanton LF for normal galaxies can be extrapolated to M_r < −23.