1. INTRODUCTION  
1.1. The bright end  
1.2. Modeling the faint end  
1.3. Early faint UV/optical AGN samples  
1.4. The Ly α LF  
2. THE HETDEX AGN CATALOG  
3. COMPLETENESS CORRECTION  
3.1. Completeness of HETDEX detection  
3.2. Completeness of AGN selection  
4. THE V MAX METHOD  
5. THE EMISSION-LINE LF OF AGN  
6. UV LF AS A FUNCTION OF REDSHIFT  
8. DISCUSSION  
8.1. Equivalent Width  
8.2. Line Width  
8.3. Host Galaxy Contamination