Step 1: Understand what a state function is. A state function is a property that depends only on the current state of a system, not on how it got there.
Step 2: Identify examples of state functions. Common examples include temperature, pressure, volume, and enthalpy.
Step 3: Understand what a path function is. A path function depends on the specific way a process occurs, such as work and heat.
Step 4: Compare enthalpy, work, and heat. Enthalpy is a state function because it only depends on the initial and final states of a system.
Step 5: Conclude that work and heat are not state functions because they depend on the path taken to go from one state to another.