However, Tony Mowbray's side are 10 points behind leaders Rangers who have a game in hand and only the most optimistic Hoops fan would predict a comeback.
But Rasmussen insists motivation will not be difficult, especially with the Scottish Cup quarter-final tie at Kilmarnock to look forward to next week.
"I don't think it is difficult (to keep going)" he said. "As a professional, you want to show your best when you play, you have pride, so I don't think it is difficult.
"We must look in each other's eyes and know that we have done the best we could.
"We have to win every game and then see how the title is looking - anything can happen in football.
"Is it hopeless? No.
"We have a lot of games left and an important cup game at the weekend so I don't think so."
Rasmussen was delighted to get his first SPL start alongside Keane who showed why he is reportedly earning £65,000 per week of his loan deal from Tottenham with two fine goals which sunk a Bairns side who might have caused the visitors more problems with better finishing.
He said: "I do my best in training so I was pleased to start.
"It was nice to play with a top-class striker, I enjoyed it.
"You learn a lot when you play and train with a good player - but the whole team are good players."
Source: Team Talk
Source: Team Talk