Semenyo showed Chelsea - who briefly explored signing him - what they will miss, and offered Manchester City a glimpse of what is to come.
His first touch was a shimmy past Acheampong and Estevao before delivering a dangerous in-swinging cross in the fourth minute.
Three minutes later, his long throw-in opened the scoring, and he later repeated the feat to set up another.
There was much more to his game. In an end-to-end contest, Semenyo's physicality was crucial at both ends, and he featured prominently in counter-attacks that helped Bournemouth create numerous chances in the first half.
It also highlighted something harder to quantify: Semenyo's professionalism and commitment.
He could have eased off to avoid injury before his move, but instead he threw himself into defensive duties, clearing multiple aerial balls in the second half.
Near the end, he was waiting for a long ball that Reece James intercepted as Bournemouth looked to soak up pressure while still using their star as an outlet.
It explains why not only City, but also Chelsea, Manchester United, Liverpool, Tottenham, and Arsenal have all shown interest in him over the past 12 months.
When City manager Pep Guardiola reviews this footage, he will like what he sees - and Semenyo can leave Bournemouth having demonstrated total commitment to the end.