A method for determining a response time of a brake of at least one assigned axis of a multi-axis machine includes actuating the axis, switching the brake, and determining a response time between a switching point in time and a response point in time at which a motion state of the axis changes. The method may further include opposing actuation of the axis while the brake is closed, and detecting a mechanical play between opposing maximum deflections of the axis. A method of operating or monitoring a multi-axis machine includes determining a response time and/or detecting mechanical play, and operating the machine or triggering a fault response based on the response time or mechanical play.