Or search by topic
This problem introduces students to the concept of different categories of real functions which permeate advanced mathematics. It focuses on understanding the properties of the categories as a whole rather than the properties of individual examples. Hopefully students will leave with the realisation that smooth functions are a very special group of functions along with a wider understanding of functions, continuity and differentiability.
Do you understand all of the terms?
In what ways can you describe or represent a function?
How would you describe in words the 'essence' of each function category?