Final answer:
The prefrontal cortex is chiefly involved with higher cognitive processes including memory, judgment, reasoning, and decision-making, rather than vision processing, auditory perception, or motor coordination.
Step-by-step explanation:
The prefrontal area or prefrontal cortex is associated with many higher cognitive processes such as judgment, abstract reasoning, working memory, and the planning of complex behavior. These functions are crucial for goal-directed behaviors and executive functions, including making decisions and inhibiting distractions to achieve a set goal. Specifically, options such as vision processing, auditory perception, and motor coordination are associated with different brain areas such as the occipital lobe, temporal lobe, and the primary motor cortex, respectively. Therefore, the correct answer regarding the function of the prefrontal cortex is b) Memory and decision-making.