Yes it is state function
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Enthalpy is the amount of energy in a system and when this changes (when a reaction happens), the energy is either released (exothermic) or absorbed (endothermic) and this energy is usually released or absorbed as heat. Therefore when the enthalpy decreases, heat is released from the system making it exothermic. In contrast, when the enthalpy increases, heat is absorbed making it endothermic.
state function did not depend on the path , it depends on the initial and final point of the system where as path function depends on the path of the reaction.
A state table defines the behaviour of the of the sequantial function
Enthalpy mathematically is the sum of the internal energy and work done in a process.internal energy is the sum of the kinetic energy,potential energy,vibrational energies etc
A pure function is one function that has no side effects or output and doesn't depend on any state beyond its local state's means it can be replaced by any other pure function which returns same result given the same inputs.This property is often referred as referential transparency