The Ducks took a 1-0 lead earlier than 8:10 into a game for the fifth straight time.
Getzlaf passed to Vermette along the wall at the Arizona blue line. Vermette, who was moved from fourth-line center to left wing on the top line, brought the puck into the zone and fed Rakell coming down the middle. His shot was saved, but the rebound came out and hit the skate of Coyotes defenseman Oliver Ekman-Larsson and went into the net at 4:02.
"They're great players. They make a lot of room," Vermette said of his linemates. "They're patient with the puck and they find ways to get the puck and slow things down. I thought we read off each other pretty well filling lanes and making plays."
The Coyotes tied it 1-1 on a power-play goal by Perlini at 11:04. Anaheim was called for too many men on the ice and then failed to clear the puck when it had possession. Perlini took a wrist shot from the top of the right circle with Christian Dvorak providing the screen.
"We were in the game, so any way that we can get a goal would obviously be great," Perlini said. "We were all up for it, and nobody was down or anything like that."
Getzlaf assisted on Rakell's second goal at 11:47 of the first period for a 2-1 lead. Vermette knocked the puck away from Arizona defenseman Luke Schenn behind the net and it went to Getzlaf, who backhanded a pass to Rakell, who had moved into the right circle.