Form ADM 9050 at a glance
What it is: Form ADM 9050 is the Appointment of Director as Agent for Service of Process.
Who signs: The principal signs on the line marked signature of principal.
A filled-in Form ADM 9050 example: a dealer names itself and a trade name

How to fill out Form ADM 9050, box by box
Type of license

Enter the type of license the principal has applied for. The principal appoints the Director of Motor Vehicles as the principal's true and lawful agent upon whom all process may be served in any action, or actions which may hereafter be commenced against the principal, arising out of any claim for damages by reason of the violation by the principal of any of the terms and provisions of the California Vehicle Code or any condition of the bond.
Date, signature of principal and notary certificate of acknowledgement

Enter the date after "IN WITNESS WHEREOF, the said principal has hereunto set his hand the".
A notary public or other officer completing the notary certificate of acknowledgement verifies only the identity of the individual who signed the document, and not the truthfulness, accuracy or validity of that document.
In the DMV/CHP officer acknowledgement of signature, the department official writes a name & title, and the day and city are filled in: the officer witnessed the signature of the Principal, who based on satisfactory identification, executed under authorized capacity their signature before the officer.
Officers and employees of the Department of Motor Vehicles (DMV) and the Department of the California Highway Patrol (CHP) are authorized to administer oaths and acknowledge signatures, for which no fee shall be charged (CVC section 18). The instrument appointing the director as agent for the applicant for service of process shall be acknowledged by the applicant before a notary public (CVC sections 11102(a)(5)(C), CVC 11202(a)(6)(C), 11403(d), 11710(d)).
More rules for Form ADM 9050
When personal service of process upon the principal cannot be made in this State after due diligence, service can be made upon the Director of Motor Vehicles. In the event of the Director's absence from his/her office, service can be made upon any employee of the State of California in charge of the Director's office, and that service of process has the same legal force and effect as if served upon the principal personally.
The agency created by the appointment continues for and during the period covered by any license that may be issued by the Department of Motor Vehicles, and so long thereafter as the principal may be made to answer in damages for a violation of the California Vehicle Code, or any condition of the principal's bond. Whenever service is made upon the Director, the service is deemed to have been made upon the principal in the county in which the principal has or last had his/her established place of business.
Sources
[1] Form ADM 9050 (Rev. 7/2015), Appointment of Director as Agent for Service of Process, California Department of Motor Vehicles (the Official source link on this page).

