Showcases of Gaussian modelling of the [O III]+Hβ emission-line complex. Top: The lowest-redshift source in the CAPERS subsample, illustrating the case where the [O III]+Hβ lines are observed with a resolution R∼70. Bottom: The highest-redshift source in the CAPERS subsample, representing the opposite extreme where the [O III]+Hβ emission is observed with a resolution R∼270. In both panels, the observed NIRSpec/PRISM spectrum is shown as a blue solid line, with the shaded region indicating the 1σ uncertainty. The solid black curve represents the total best-fitting model to the [O III]+Hβ complex, while the magenta, red, and green dashed lines represent the individual Gaussian components of [O III]λ5007, [O III]λ4959, and Hβ, respectively.