This visual execution shows how to use TaskGroups in Airflow for better task organization. First, a DAG is defined. Then a TaskGroup named 'group1' is created. Inside this group, two dummy tasks 'task1' and 'task2' are added. A separate task 'start' is created outside the group. A dependency is set so that 'start' runs before the entire group. When the DAG runs, tasks execute respecting this order. The Airflow UI visually nests tasks inside the group, making the DAG easier to understand. Variables like 'dag', 'group', and 'start' change state as tasks and groups are created and linked. Key points include understanding that TaskGroups are containers for tasks, dependencies can be set on groups, and groups do not run tasks by themselves but organize them. The quizzes test understanding of when dependencies are set, the state of groups after adding tasks, and the effect of removing dependencies.