Methods, systems, and computer-readable media for continuous functions in a time-series database are disclosed. A plurality of data points of a time series are stored into one or more storage tiers of a time-series database. The plurality of data points comprise a plurality of discrete measurements at respective timestamps. Using one or more query processors of the time-series database, a query of the time series is initiated. The query indicates a time range. Using the one or more query processors, a continuous function is determined that represents a segment of the time series in the time range. The continuous function is determined based at least in part on the plurality of data points. An operation is performed using the continuous function as an input.