Graham didn't practice on Thursday or Friday and is listed as questionable for Sunday's game at the New York Jets. The Bengals already are missing quarterback Carson Palmer, who will be no better than the backup behind Ryan Fitzpatrick because of a sore passing elbow.
Rayner has played in 41 games with Indianapolis, Green Bay, Kansas City and San Diego, connecting on 41 of 58 field-goal attempts. He was released by Detroit on Aug. 26.
The Bengals also waived fullback Reagan Maui'a, a second-year player from Hawaii.