Which of the following is a function of a digital video recorder (DVR)?

A digital video recorder (DVR) primarily functions to record television programs, allowing viewers to play back shows at their convenience. This is an essential feature of a DVR, as it enables users to pause live shows, rewind, and fast-forward through recordings, enhancing the viewing experience.

Other options, while related to television services, do not represent the core functionalities of a DVR. For example, streaming live television refers to the capability of viewing programs in real-time, which is more associated with streaming services rather than the specific functionalities of a DVR. Transcoding video formats is a technical process that changes the format of a video file, generally not a primary function of a DVR as it focuses on recording and playback rather than format alteration. Providing internet access is outside the typical capabilities of a DVR, which is designed for video recording and playback rather than functioning as an internet router or access point. Thus, the ability to playback recorded shows stands out as the defining characteristic of a DVR.