Final answer:
The term that encapsulates the universality of management across all types of organizations is universal generalizations, and this concept is applicable regardless of the organizational structure, whether normative, coercive, or utilitarian.
Step-by-step explanation:
The term that describes the universality of management as a function that can be applied to all organizations is universal generalizations. Management principles are seen as universal in the sense that they are applicable to various types of organizations, whether these are normative, coercive, or utilitarian. The universality concept is underscored by the existence of large bureaucracies which, despite their size and potentially cumbersome nature, derive their efficiency from established systems and rules rather than from individual relationships. Such organizations tend to adopt a standardized approach, much like the 'McDonaldization' of society, to achieve predictability and control. The concepts of Theory X and Theory Y in management also highlight the range of managerial attitudes and practices that can be applied universally across different sectors.