# Thread: one to one function

1. ## one to one function

Let $f: A \rightarrow B$ be a function. We use f to define a relation $R_f$ on A as follows;

For $a,b \epsilon A,$ $a R_f b$ if and only if f(a) = f(b).

a. What is this relation when f is a one to one function?
b. What is this relation when f is a constant function?

Can anyone tell me where to start?

2. Originally Posted by onemore
Let $f: A \rightarrow B$ be a function. We use f to define a relation $R_f$ on A as follows;

For $a,b \epsilon A,$ $a R_f b$ if and only if f(a) = f(b).

a. What is this relation when f is a one to one function?
b. What is this relation when f is a constant function?

Can anyone tell me where to start?
Let f be a constant function. Then f(a)=c for all a $\in$ A and so...