Final answer:
The medulla is the part of the brain that would likely show high levels of activity during a sneezing episode. The medulla is responsible for controlling involuntary actions, including sneezing, coughing, and swallowing.
Step-by-step explanation:
During a sneezing episode, the part of the brain that would likely show high levels of activity in brain-imaging techniques is the medulla. The medulla is responsible for controlling involuntary actions, including sneezing, coughing, and swallowing. It is located at the base of the brainstem. Sneezing occurs when irritants stimulate the nerve endings in the nasal passages, sending signals to the medulla to initiate the sneezing response.