Final answer:
The frontal lobe, and more precisely the prefrontal cortex, is responsible for tasks involving emotion, cognitive functions, and motor tasks.
Step-by-step explanation:
The area of the brain that is activated in tasks involving emotion, cognitive, and motor tasks is the frontal lobe. Specifically, the most anterior region of the frontal lobe, known as the prefrontal cortex, plays an essential role in executive functions that lead to goal-directed behaviors. This includes working memory, attention, and aspects of decision-making. Sensory cortical areas of the brain such as the occipital, temporal, and parietal lobes are responsible for processing vision, auditory information, and somatosensory information, respectively. Motor functions, on the other hand, are mainly controlled by the motor cortex within the frontal lobe, with specific areas associated with movement of different muscle groups.