According to Chapter 2 General Powers, Rights and Liabilities, Section 4 of the City Charter -
To acquire, construct, establish, own, equip, maintain, conduct, manage, and operate libraries, hospitals, markets, market houses, playgrounds, parks, public grounds, recreation buildings, comfort stations, police stations, jails, fire houses, City Hall, office buildings for use of City officials, public buildings, sewage disposal systems and plants, lighting systems and plants, water systems and pumping stations, water filtration plants, public parking grounds, public works, works and plants for preparation, manufacture, storage, handling or transportation of materials required in public work, and all buildings, establishments, institutions and places which are necessary or convenient for the transaction of public business or for promoting the health, morals, safety or welfare of the inhabitants of the City whether the same be specifically enumerated herein or not; and to acquire sites therefor.
According to Chapter 2 General Powers, Rights and Liabilities, Section 5 of the City Charter -
To establish any department that it may deem necessary for the general welfare of the City and for the separate incorporation thereof; provided that those provisions shall not extend to and include public schools.
Link to the Full City Charter