The municipal court shall have exclusive original jurisdiction over traffic infractions arising under city ordinances and exclusive original criminal jurisdiction of all violations of city ordinances duly adopted by the city and shall have original jurisdiction of all other actions brought to enforce or recover license penalties or forfeitures declared or given by such ordinances or by state statutes. A hosting jurisdiction shall have exclusive original criminal and other jurisdiction as described in this section for all matters filed by a contracting city. The municipal court shall also have the jurisdiction as conferred by statute. The municipal court is empowered to forfeit cash bail or bail bonds and issue execution thereon; and in general to hear and determine all causes, civil or criminal, including traffic infractions, arising under such ordinances and to pronounce judgment in accordance therewith. A municipal court participating in the program established by the administrative office of the courts pursuant to RCW 2.56.160
shall have jurisdiction to take recognizance, approve bail, and arraign defendants held within its jurisdiction on warrants issued by any court of limited jurisdiction participating in the program.