Colorado won its third in a row and has captured nine of its 10 games this season.
Duchene scored on a wraparound shot with 2:27 to go in the first period to give Colorado a 2-0 lead and his power-play goal 36 seconds into the third put the Avalanche in front 4-1.
Slap shots by Drayson Bowman in the second period and Andrej Sekera in the third produced Carolina's scores.
Penelope Cruz named 2013's 'Best Body' by Fitness magazine
Megyn Kelly: Santa Claus and Jesus are both white men