What is defined as the recording of certain information relating to the offender during the intake admission process?

The correct choice is booking. In the context of the intake admission process, booking refers specifically to the formal procedure where law enforcement officials record essential information about an offender after their arrest. This includes details such as the individual's personal information, the nature of the charges, and other pertinent data that may be required for legal and administrative purposes.

Booking serves as a crucial step in the criminal justice process, as it establishes an official record of the individual's arrest and initiates the legal proceedings. The information collected during booking is used for a variety of reasons, including identification of the offender, tracking of criminal activity, and providing necessary details for future court appearances.

Other terms like processing, charting, and registering may refer to different aspects of handling cases or managing records but do not specifically encapsulate the comprehensive nature of what happens during the booking phase. Processing might refer to the overall handling of an individual's case within the system, charting may pertain to documenting medical or behavioral information, and registering could imply enrolling a person into a system or database without the same legal implications specific to a criminal record.