This task provides opportunities for students to show their understanding of functions in various representations by making matches (3 cards in a set).

Students will extend their study of functions to include function notation and the concepts of domain and range by exploring examples of functions and their graphs, focusing on the contrast between linear and exponential functions. They interpret functions given graphically, numerically, symbolically, and verbally; translate between representations; and understand the limitations of various representations.

The purpose of this task is to investigate the meaning of the definition of function in a real-world context where the question of whether there is more than one output for a given input arises naturally. In more advanced courses this task could be used to investigate the question of whether a function has an inverse.

In this Khan Academy activity, students will determine if a graph represents a function.

In this Khan Academy activity, students will determine if a table represents a function.

This task is designed for students to practice their understanding of function. After reviewing various naming conventions of function (“versus”, “with respect to”, “over”, “dependent on”), students are to determine whether or not each situation is a function, then justify their answer.