Assignment 13 (pdf)

Due in class Friday of Week 4

1. Exercise 9.2 (page 234)
2. Find the smallest possible example of sets \(A\), \(B\) such that there are (at least) two functions \(f\), \(g\) from \(A\) to \(B\) that are not equal (i.e. they are not the same relation).
3. Find the smallest possible examples of sets \(A\), \(B\), \(C\) and \(D\) and a function \(f\colon A\to B\) where \(C \subset D \subseteq B\) and \(f^{-1}(C) = f^{-1}(D)\).