This is the second article in a two part series on the history of Algebra from about 2000 BCE to about 1000 CE.
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?