Assessment Problem:

The Graphs at right represent a function in three subdomains (note that the scales are not the same in the three graphs).

Draw the graph of the function in one coordinate system.

Mathematical Issues:

This exercise forces students to consider key features of a given function in order to match up pieces of its graph.

Domain:

Patterns & Functions

Theme:

Domain

Common Core Standards:

F-IF: Interpreting Functions

Research References:

Schwarz, B. B., & Hershkowitz, R. (1999). Prototypes: Brakes or Levers in Learning the Function Concept? The Role of Computer Tools. Journal for Research in Mathematics Education, 30(4), 362-389. [figure above appears on pg. 373]