The correct analysis of the difference between the roles of mayor and city council members is: The mayor is the executive, and city council members are legislators.
In this structure, the mayor typically oversees the executive functions of the city, implementing laws and managing city departments, while the city council is responsible for making laws, setting policies, and representing the constituents' interests. This clear separation of roles helps ensure a balance of power within local government.
The other statements that suggest the city council members are department heads or that the roles are switched (making the mayor a legislator) are incorrect. The city council does not typically manage departments; that task falls to the mayor and their appointed officials. Additionally, the judiciary role is not relevant to the direct functions of mayors or city council members.