# Is all function a equvalence relation?

1. Feb 23, 2013

### np infinite

I know that function is a type of relation. What i acctually need to know is that; Are these relations Equivalent all the times?, or it depends on the types of function?

2. Feb 23, 2013

### micromass

Staff Emeritus
Well, what do you think yourself?? Take an arbitrary function such as $f:\mathbb{R}\rightarrow \mathbb{R}x\rightarrow x^2$. Does this induce an equivalence relation??