Final answer:
The correct answer to the question is authorization. The function that determines the actions a legitimate user is allowed to perform on a network after being verified is called authorization. It sets the specific permissions and access levels for users, distinguishing it from authentication, which merely verifies identity.
Step-by-step explanation:
Once a person or device has been authenticated, authorization is the process that determines which actions they are allowed to perform on a network or network resource. It defines permissions and access levels for legitimate users, ensuring they can only access the data and resources that are appropriate for their role or status within an organization or system.
Authentication, in contrast, is the process of verifying the identity of a user or device, typically through a username and password, before they can attempt to be authorized for certain actions. Accounting is the process of keeping track of what actions users have taken, such as accessing a file or service, which can be useful for auditing and billing purposes. Allowance could refer to a generic permission but is not a standard term in network security.