Step 1: Comprehending the Inquiry.
The inquiry concerns how organizational leadership responds to evolving environmental influences, exemplified by AMPM's strategic entry into the smartwatch sector.
Step 2: Evaluating the Choices.
- Management is ubiquitous: This describes its presence across all entities but not its adaptive capacity.
- Management is an ongoing process: While continuous, this attribute doesn't detail the mechanism for change adaptation.
- Management is an adaptable process: This is the accurate selection, as management's nature involves evolution and adjustment to external business shifts.
- Management is an invisible influence: This is a general characteristic, not specific to reacting to trends.
Step 3: Determination.
The appropriate response is Management is an adaptable process, as this accurately represents the capacity to adjust to market and environmental fluctuations.
Concluding Statement: \[\boxed{\text{The correct answer is (3) Management is an adaptable process.}}\]