Compher made it 2-0 at 8:53 after intercepting a pass by Coyotes defenseman Oliver Ekman-Larsson and scoring just under the crossbar on a breakaway.
"We were trying to play with speed, force them into uncomfortable positions and get turnovers," Compher said.
Compher became the 20th player in NHL history to score two shorthanded goals in a span of two minutes or less since 1933-34, and the fourth to do it in the past 15 years, joining Michael Grabner (2013-14), Tobias Rieder (2014-15) and Chris Tierney (2017-18).
"You don't see that very often," Avalanche coach Jared Bednar said. "I think it's the first time anyone in our organization has done it and that's pretty impressive, and that gets us started. Then Mikko follows it up with a big goal to kind of build the lead."
Rantanen extended the lead to 3-0 at 9:39. Following a turnover by Coyotes defenseman Jakob Chychrun, Rantanen received a loft pass from Landeskog and scored glove side on a breakaway.
"It was three shots, 3-0 and the game was pretty much over," Raanta said. "A rough start for sure and the game is pretty much over. You give three goals in three shots, you're pretty much burying your whole team."