Stephen Weiss added a goal and two assists for the Panthers (2-1-1). Martin Gelinas also scored, and Jokinen and Todd Bertuzzi each had two assists.
Eric Belanger, Scott Walker and Andrew Hutchinson scored for Carolina (0-3-1), which has been outscored 18-7 this season. The Hurricanes' longest winless streak last season was four games.
Alexander Auld stopped 32 shots for Florida. John Grahame, making his first start for Carolina, had 26 saves.
Florida, which beat Boston 8-3 in its opener, has scored a franchise-best 14 goals in its first two home games. The Panthers' previous high was 10 in 1995-96.
Roberts opened the scoring at 8:09 of the first period when he beat Grahame with a wrist shot over his left shoulder.
Jokinen gave Florida a 3-1 lead with the Panthers' first short-handed goal of the season at 17:01 of the second. Jokinen easily skated around centre Eric Staal to beat him one-on-one before flipping the puck over a diving Grahame.
Walker cut the lead to 3-2 at 18:30 with a slap shot that beat Auld over his right pad.
Roberts' second goal came with 10.4 seconds left in the second period and push Florida's advantage to 4-2.
Jokinen made it 5-2 at 1:14 of the third when he beat Grahame to the short side with a long slap shot.
Notes: Florida C Joe Nieuwendyk missed the game because of a leg injury he sustained Monday night at Toronto. ... Florida recalled RW Greg Jacine from Rochester of the AHL. ... This was the second game of Carolina's season-high seven-game road trip. The Hurricanes began the trip with a 5-2 loss at Washington Saturday. ... Carolina went 1-for-8 on the power play, making the Hurricanes 3-for-27 on the season.