A display apparatus is provided. The apparatus includes a display configured to display an image corresponding to a first connection interface of a plurality of connection interfaces; and a processor configured to, in response to detecting a change of a power state of an external apparatus connected to the display apparatus through a second connection interface of the plurality of connection interfaces, determine whether content is inputted through the first connection interface, and control the display to display a user interface (UI) indicating that source switch is available or display an image received through the second connection interface, based on a result of the determination.