Question

let f: A -> A be a function. Define a relation on A by a ~ b if f(a) = b. Is this an equivalence relation?

Answer 1

this would not be reflexive because f(a) = b but f(b) does not equal a?

Answer 2

I think you talking about symmetry not the reflexive property

Answer 3

eek :/ how would i show the reflexive property?

Answer 4

nevermind, i figiured it out.