 This phase II trial is studying how well giving bevacizumab together with cisplatin, radiation therapy, and fluorouracil works in treating patients with stage IIB, stage III, stage IVA, or stage IVB nasopharyngeal cancer. Monoclonal antibodies, such as bevacizumab, can block tumor growth in different ways. Some block the ability of tumor cells to grow and spread. Others find tumor cells and help kill them or carry tumor-killing substances to them. Bevacizumab may also stop the growth of nasopharyngeal cancer by blocking blood flow to the tumor. Drugs used in chemotherapy, such as cisplatin and fluorouracil, work in different ways to stop the growth of tumor cells, either by killing the cells or by stopping them from dividing. Radiation therapy uses high-energy x-rays to kill tumor cells. Giving bevacizumab together with chemotherapy and radiation therapy may kill more tumor cells. 