Why not a tragicomedy?

After going back in forth, arguing in class over whether The Tempest was a tragedy or a comedy, Charlie brought up the point that the play must be a tragicomedy, since it can be argued strongly both ways. However, then Ms.Maxey set us straight, telling us that it is officially a comedy. However, I think today it should be considered a tragedy, or at least a tragicomedy, because there is a really small percentage of people who would find this play funny. Also, there are some serious topics that are covered in the play, which make me think that it would be better suited as a tragedy when looked at today. For example, the shipwreck in the beginning, Prospero's loss of power, and the inclusion of characters like Ariel and Caliban who are similar to slaves, point towards the play being more tragic than funny. However, I understand that during that time, Shakespeare had a better sense of humor than most students think he has now.