Upper panel: 68% and 95% confidence intervals (dark- and light-gray shaded regions, respectively) on the UV luminosity of the turn-over in the UV LF obtained from our analysis (Section 3.3.2) of the lensed z = 2–9 HFF samples (Bouwens et al. 2022b). The turn-over luminosities in the various theoretical LFs (Section 4.4) are also shown as a function of redshift. Our new LF results rule out the presence of a turn-over in the UV LF brighter than ≈−15.5 mag (95% confidence) over the entire redshift range z = 2–9. At z ∼ 3, and our LF results rule out the existence of such a turn-over brighter than −13.1 mag (95% confidence). Lower panel: comparison of our derived redshift trend for the faint-end slope α (Figure 6; dark- and light-gray shaded regions indicate the 68% and 95% confidence regions, respectively) with that seen in the theory LFs (Section 4.4) as a function of redshift. Both the luminosity of the turn-overs M _T and the faint-end slopes of the theory LFs appear to be in excellent overall agreement with our observational constraints.