Final answer:
The autonomic nervous system's subdivision that uses the neurotransmitters norepinephrine and epinephrine is the sympathetic nervous system, which triggers the body's fight-or-flight response.
Step-by-step explanation:
The subdivision of the autonomic nervous system that operates using the neurotransmitters norepinephrine and epinephrine is the sympathetic division. The autonomic nervous system is divided into two main subdivisions: the sympathetic and parasympathetic nervous systems. The sympathetic nervous system is responsible for the body's 'fight-or-flight' response during stressful situations, increasing heart rate, and redirecting blood flow to muscles. On the other hand, the somatic nervous system, which is not the correct answer here, controls voluntary muscle movements and transmits sensory information to the central nervous system.
The correct answer to the question is the sympathetic nervous system (Option 5). It contrasts with the parasympathetic nervous system, which helps to conserve energy and is involved in rest-and-digest activities.