The powers and functions of the Prime Minister of India are:
He chairs Cabinet meetings and directs the work of numerous Departments.
In the case of a departmental controversy, his judgments are final.
He is in charge of a large number of ministries.
All ministers operate under his supervision.
The Prime Minister assigns and redistributes work among the ministers.
He has the power to dismiss ministers.
The whole government resigns when the Prime Minister resigns.
ARTICLE 74:
There shall be a Council of Ministers, headed by the Prime Minister, to assist and advise the President, who shall act in accordance with some advice in the exercise of his powers.
ARTICLE 75:
The President appoints the Prime Minister, and the President appoints the other Ministers on the Prime Minister’s suggestion.
Final answer:
Hence, the powers and functions of the Prime Minister of India include coordinating work of various Departments, finalizing the decisions, guiding ministries, etc.
The articles 74 and 75 describes the function of a Prime Minister.