In a parliamentary system, the prime minister has several key functions, including acting as the head of government and coordinating policy implementation across various ministries. They represent the government in the legislature, shaping legislation and leading debates on crucial issues. Additionally, the prime minister appoints and manages Cabinet members, oversees public administration, and acts as a liaison between the executive and legislative branches. Their role also involves ensuring party discipline, navigating coalition dynamics, and representing the nation in international affairs, thereby influencing both domestic and foreign policy directions.