Final answer:
The internal energy of a system is a state function, while heat and work are not state functions on their own.
Step-by-step explanation:
According to the first law of thermodynamics, the internal energy (AU) of a system is a state function. Heat (q) and work (w) are not state functions on their own. However, their sum (AU = q + w) is a state function because it depends only on the initial and final states of the system, regardless of the path taken to reach those states.