This interpersonal relationship is personal-social because it is primarily about a relationship with a family member, friend or boyfriend or girlfriend, while professional-functional relationships involve relationships with employers, employees, clients, and the general public.
Based on Knapp's model, Anne and Henry's relationship is in the stage IV, integration. At this stage, Anne and Henry have been dating for about six weeks they start to make their relationship much closer than before. They want to spend more time with each other and maybe gradually have fallen in love. The level of intimacy can move up so they've decided to start dating exclusively.