What term indicates that a person shows no signs or symptoms of infection?

The term that indicates a person shows no signs or symptoms of infection is "asymptomatic." This term is commonly used in medical contexts to describe individuals who carry a disease or infection but do not exhibit any visible signs, such as fever, cough, or discomfort. Asymptomatic carriers can still spread certain infections, but they themselves do not experience the ill effects that would typically prompt a person to seek medical attention.

In contrast, "symptomatic" refers to the presence of symptoms accompanying a disease, meaning a person is showing clear signs of illness. "Infectious" describes a state in which a person is capable of transmitting an infectious agent to others but does not specify whether or not symptoms are present. "Contagious" highlights the ability to spread the infection to others but again does not imply whether the infected individual has symptoms or not. Thus, "asymptomatic" is the most precise term for someone without symptoms of infection.