Final answer:
The family member described is taking the instrumental role, traditionally associated with providing financial support and establishing family status, often filled by men in many societies.
Step-by-step explanation:
The family member who is task driven, bread winning, and authoritative is taking the instrumental role. In the context of family dynamics, the instrumental role typically involves work outside the family that provides financial support and helps to establish the family status. While historical models such as the paterfamilias in ancient Roman families exhibited this role with extensive authority, including patria potestas, modern families also continue to exhibit patterns where specific economic roles are determined by gender.
Typically, men have assumed the instrumental roles in the family. This separation of roles by gender is meant to ensure that families are well-balanced and coordinated. However, this traditional view has evolved as families adapt to changing societal norms, and members may interchange these roles to maintain balance and functionality.