check out

examine so as to determine accuracy, quality, or condition; "check the brakes"; "Check out the engine"

announce one's departure from a hotel

be verified or confirmed; pass inspection; "These stories don't check!"

trace; "We are running down a few tips"

record, add up, and receive payment for items purchased; "She was checking out the apples that the customer had put on the conveyer belt"

withdraw money by writing a check

try to learn someone's opinions and intentions; "I have to sound out the new professor"