A mathematics investigation of the graphical properties of functions and their inverses. This helps students to discover the reflective property of graphs of inverses and can start students on the process of noticing the relationships between equations of functions and their inverses.
A mathematical investigation of different kinds of function transformations. The task requires use of a graphing tool and leads students to explore vertical and horizontal stretches and compression and vertical and horizontal translations. The task also has students explore these with different functions, which helps them to appreciate the variety of non-linear functions that exist.