Murphy gave the Coyotes a 1-0 lead at 10:45 of the second period with his first NHL goal in his second game.
"It's been an emotional ride throughout my junior career and pro career," the 22-year-old defenseman said. "The puck just came around. It took a good angle. I like those one-timers off the boards, and luckily it found the cage."
Chychrun made it 2-0 at 17:22 with a one-timer from the hash marks off a pass from Richard Panik.
Perlini made it 3-0 at 10:28 of the third period. The officials initially waved off the goal because of goaltender interference, but Tocchet challenged, and the call on the ice was overturned after video review showed Nick Cousins did not interfere with Domingue.
"I think we played so good in the first two periods, so we didn't want to change anything," Raanta said. "I think that we were still pushing hard in the third period. You know a team that's losing 2-0 is going to make a push, so you just need to make the push also and I think we weathered the storm and it was good."
Kucherov scored on the power play at 14:37 of the third period to make it 3-1, but Keller scored an empty-net goal with eight seconds left to make it 4-1 and extend his point streak to nine games (five goals, seven assists).
"I think we're trying to treat every game like a playoff game," Keller said. "We kind of get up for that and we just want to come out and finish the year strong and hopefully bring something home for next year."