My name is Katie.

I'm working with a book called Discrete Mathematics: Mathematical Reasoning and Proof with Puzzles, Patterns and Games by Doug Ensley. This chapter is entitled Functions and Relations and this section is focusing on iterated function sequences.

They want me to give a complete diagram for the function f below:

function f : {1, 2, 3, ... 32} --> {1, 2, 3, ... 32} given by

f(x) = 11 + [x/3]

(In the book, the "[]" brackets are actually half brackets that look like upside down L's)

I don't even know what kind of diagram they mean or how to do it. If anyone could help me, that would be great. Thank you in advance.