Rasmussen set NHL career highs for goals and points in a game playing on a line with Dylan Larkin (two goals, one assist) and David Perron (one goal, two assists). Larkin and Perron usually play alongside Lucas Raymond, but Rasmussen, a center, moved up because Larkin has an injured hand that limited him to six face-offs.
"When you see your teammates battling through something, it just makes you want to play even harder," Rasmussen said. "We all know what guys are dealing with, and we're trying to pick up the slack as much as we can."
Ville Husso made 34 saves for the Red Wings (14-11-7), who were 0-4-2 during the skid. They hadn't won since Dec. 6, a 4-2 victory at Tampa Bay.
"I'm happy with this result, because anyone who saw us in this stretch knows we've been better than 0-4-2," Detroit coach Derek Lalonde said. "We've been tied going into the third three or four times lately without being able to finish it off, but today we did."