Final answer:
The involuntary nervous system is a synonym for the autonomic nervous system, reflecting its role in controlling the body's involuntary functions to maintain homeostasis through its sympathetic and parasympathetic divisions.
Step-by-step explanation:
A synonym for the autonomic nervous system that reflects its major function is the involuntary nervous system. The autonomic nervous system, part of the peripheral nervous system, is responsible for controlling involuntary functions of the body, such as heart rate, digestion, respiratory rate, pupillary response, urination, and sexual arousal. This system operates mostly unconsciously and regulates bodily functions, particularly those aimed at maintaining homeostasis, or balance in the body's systems. It is composed of two main divisions: the sympathetic and parasympathetic nervous systems, which have generally opposing effects on the target organs to ensure proper bodily function.