Authorize (verb)

1. To give official permission or approval for something to happen.
2. To give someone the power to do something, such as make decisions or take action.

Origin:

Late middle english (in the sense "make something authoritative"): from old french autoriser, from medieval latin auctorizare, from auctor "author".

Examples:

1. The government authorized the use of force.
2. The board authorized the expenditure of funds.
3. The company authorized him to make the final decision.
4. He was authorized to sign the contract on behalf of the company.
5. The manager authorized the employee to take the day off.