Students explore the concept of domain, range and function mapping through a variety of visual representations. Interactive sets, ordered pairs and graphs provide for opportunities for students to explore, the idea is then flipped as students build a function to match the domain and range supplied.

Understand the concept of a function as a mapping between sets, and as a rule or a formula that defines one variable quantity in terms of another.

Mapping, domain, range

Students start by exploring ordered points plotted on the Cartesian plane determining the domain and range. A dynamic representation showing the mapping between the sets is then provided to gain a better understanding of the mapping and then a function machine. Upon completing the discrete examples students are provided graphical examples. Finally students work backwards from a given domain and range students build a function that satisfies the prescribed conditions and summarising their findings for the different mapping options: one to one, many to one, one to many and many to many.