The definition of funeral is incorrect. The purpose is not to send away someone who has died. That person is already gone, at least as a living individual. The purpose is for those who care... family, loved ones, friends, etc... to pay their respects, including being able to say "farewell" to someone that mattered to them and who they already miss. With that correction, I'd make it "... people bid adieu to one no longer with them" or words to that effect. Given the choices provided in the question, I'd go with "away", although it is the best of two poor choices because of the flaw in the definition of a funeral.