Which establishes the duties and responsibilities of state government?

a state's high court

the US Constitution

a state's constitution

the US Supreme Court

The US Constitution establishes the duties and responsibilities of state government

Explanation:

The United States is known for its Federalist system, which is distinguished by allowing multiples layers in the government to make decisions regarding a same territory. This system came into view due to the different needs of different people. However, the decisions of the state government are under the control of the U. S constitution.

This specifically means that the government is expected to perform many services for the country but under few limitations. For example, the state is required to provide a proper infrastructure, create a safe planning for the roads, organize the police force, improve of the appropriate local laws for buildings and planning, issues marriage and driver's license.

These activities has few limitations imposed by the U. S constitution such as, the local government is not allowed to initiate war, have their own currency, or form an alliance with a foreign country.