Function Machines and Inverse Functions

This worksheet comprises 3 sections over 3 pages with an answer sheet on the fourth page. It can be printed to a single A3 folded booklet. Section A provides 20 function machines with up to 3 operations to be converted into equations. An example is provided first. Section B provides 12 equations with up to 3 steps to be converted into function machines. An example is provided first. Section C provides 18 functions to be converted into function machines so that inverse function machines can be drawn, and finally the inverse function can be written. The sections contain plenty of practice and will provide at least 2 to 3 lessons of independent study. Each section is intended to develop student understanding towards the ability to write inverse functions. The relationship between a function and its inverse can then be discussed.