Seth Jarvis and Michael Bunting scored for the Hurricanes, who ended the preseason 3-3-0. Sebastian Aho had two assists, and Frederik Andersen made 22 saves.
Yakov Trenin scored for the Predators, who finished the preseason 1-4-1. Kevin Lankinen made 30 saves.
Teravainen gave Carolina a 1-0 lead at 5:34 of the first period with a wrist shot on the power play.
Trenin tied it 1-1 at 13:58 of the second period, but Jarvis put the Hurricanes back ahead 2-1 at 19:08, scoring from the left circle.
Necas extended the lead to 3-1 on a wrist shot at 15:22 of the third period before Bunting scored 23 seconds later at 15:45 for the 4-1 final.
