Answer:
It will plateau and the population will stabilize in relationship to available resources.
Step-by-step explanation:
Having an unhinged rabbit population with no predators and an abundance of food will cause the population to initially increase. This increase will be due to an environment free from predation and also encouraged by an abundance of food.
In time these rabbits will increase in number and will put a strain on food supply. Dwindling resources will put pressure on reproduction. In addition to this these have a limited gene pool since they have been only reproducing with each other. This will pass along any disease sensitivity that they may have. In the even that a disease is introduced into the population many of them will be wiped out.
In conclusion, without a constant food supply to support a growing population the rabbit population will not multiply exponentially, indefinitely.