Income

[TomD8]

States with an income tax can tax non-residents on income from work actually (physically) performed within their borders.  However, you only need to file a non-resident state tax return if your income in that state exceeded its filing threshold for non-residents.

You can find a state's non-resident filing threshold on its state tax website.

Section 7 of Public Law 101-322 provides an exception for interstate truckdrivers and rail carrier employees, who are subject to income tax only by their legal state of residence.

https://www.govinfo.gov/content/pkg/STATUTE-104/pdf/STATUTE-104-Pg295.pdf

[Critter-3]

Talk to the employer ... they should be withholding the state taxes where you are working automatically  or at least reporting how much you made in which states on the W-2 form they issue in January so you have the info needed to file the proper non resident state returns.