This unit begins by revising the various fundamental operations on functions: forming combinations, composites and inverses of functions. It goes on to describe the Squeeze Rule and the Glue Rule for continuous functions, and some properties of continuous functions. In particular, two fundamental results called, the Intermediate Value Theorem and the Extreme Value Theorem. This unit also discusses the Inverse Function Rule.One subsection is intended to be studied in conjunction with an audio, available in the Analysis A Block Pack (order code M208/MMPAA). The video programme, The Intermediate Value Theorem, associated with this unit is available on DVD00126 (order code M208/DVD02).