Final answer:
Managers engaging as figureheads, leaders, and liaisons perform in an interpersonal role, influenced by their leadership functions and styles.
Step-by-step explanation:
When a manager interacts with other people in roles such as figurehead, leader, and liaison, he/she is acting in a interpersonal role. These roles are essential as they revolve around providing direction and support to employees, representing the organization, and maintaining networks with external entities. Different leadership functions and leadership styles, whether instrumental, expressive, democratic, laissez-faire, or authoritarian, influence how managers perform in their interpersonal role.