The correct answer is C.
space 1: auxiliary
space 2: Connects subjects and complements (i.e., predicate adjectives and predicate nominatives)
space 3: RoboCup will remain at the cutting edge of technological advances.
Step-by-step explanation
In the English language, verbs are classified into three categories: auxiliary, linking, and action. To begin, auxiliary verbs include verbs such as could and would that complement other verbs. This is the type of verb described in the first row of the chart.
Secondly, there are action verbs that include verbs such as go, play, cut, etc, referring to an action. An example of this is the verb remains in the sentence "RoboCup will remain at the cutting edge of technological advances" which describes a specific action.
Finally, liking verbs connect this object or agent to another part of the sentence such as a predicate adjective or predicate nominative. This includes verbs such as the verb to be. According to this, the best definition for linking verbs is "connects subjects and complements".