Final answer:
The first responsibility of public health officials is to identify problems that affect the health of the community.
Step-by-step explanation:
The first responsibility that public health officials must satisfy in order to improve the health of a community is to identify problems that affect the health of the population in question (option A). By understanding the specific health issues faced by the community, officials can develop targeted interventions and initiatives to address those problems. This could involve conducting research, gathering data, and analyzing epidemiological information to identify prevalent diseases, risk factors, and social determinants of health within the community.