How observed colors, the full far-IR SED modeling, and X-ray detections compare as tracers of the AGN activity. Top: observed S_1.2 mm/S_24 μm color (Rayleigh-Jeans/mid-IR rest-frame color) as a function of f_AGN and the X-ray luminosity L_{2 − 10 keV}. Bottom left: AGN IR luminosity from SED modeling as a function of L_{2 − 10 keV}. The black line indicates the locus of constant bolometric luminosities derived from X-ray and IR luminosities adopting the corrections as labeled. Bottom right: Spitzer/IRAC S_8 μm/S_4.5 μm, S_5.8 μm/S_3.6 μm selection as in Donley et al. (2012). The symbols indicate our sample of z ∼ 1.2 galaxies color coded by f_AGN as in previous figures. Open blue circles mark hard X-ray emitters with L_{2 − 10 keV} > 10⁴³ erg s⁻¹. In the top panels, arrows indicate 3σ upper limits on the ALMA continuum emission at 1.2 mm.