The Concept of a Function
The concept of a “function” is one of the most basic in all of mathematics. The meaning of the word “function” has evolved and changed during the last three centuries
We know that if set A contains m elements and set B contains n elements, then the set A B will have m . n ordered pairs
This quiz tests your understanding of function notation, the distinction between f and f(x), independent vs. dependent variables, and the four modes of representing functions
Test your ability to identify and distinguish one‑one, many‑one, onto, and bijective functions from definitions, diagrams, and examples
Test your understanding of when inverse functions exist, how to compute them algebraically, their domain/range relationships, graphical symmetry, and the difference between inverse notation and reciprocal
Test your understanding of set sizes — Finite, Countable, and Uncountable Sets