  The First Fermi-LAT catalog (1FGL) represents the most complete list of
sources in the GeV sky to date. We use the reported 1FGL spectral parameters to
extrapolate Fermi AGN spectra to the very-high energy (VHE) range (15 GeV - 300
TeV). The extrapolated VHE spectra are then attenuated using current
estimations of the extragalactic background light (EBL) absorption as a
function of redshift. Using the expected effective areas and background rates
of the Cherenkov Telescope Array (CTA) from Monte Carlo simulations, we make a
first order prediction of the AGN population accessible to CTA in the VHE sky.
We find that CTA should easily triple the AGN detection rate of current
ground-based Cherenkov telescopes. In addition, CTA will allow unprecedented
access to high-redshift blazars out to z ~ 2, and hence will start to reveal
the EBL shape with gamma-ray observations.
