There is no hunting within Syracuse City limits. Please refer to Syracuse City Code 12.15.010 for further information. If you have further questions call the Syracuse Police Department (801) 825-4400 and speak with an officer.
Helpful hunting link to the Utah Division of Wildlife Resources
https://wildlife.utah.gov/
Discharge of a dangerous weapon or firearms please refer to Utah State Code 76-10-508
https://le.utah.gov/xcode/code.html