Final answer:
The two divisions of the autonomic nervous system are the sympathetic and parasympathetic, which work in opposition to control various functions in the body, maintaining homeostasis.
Step-by-step explanation:
The autonomic nervous system has two divisions: the sympathetic and the parasympathetic. These divisions help regulate the internal organs and glands of the body, often having opposite effects. For instance, the sympathetic division is known for its role in the 'fight-or-flight' response by increasing heart rate, while the parasympathetic division promotes 'rest and digest' functions by decreasing heart rate. Together, they work to maintain the body's homeostasis.