Given an affine variety and any two points, we can find a regular function which takes one point to another.

Question

I think this result is true. Obviously in case of projective varieties this is not true. Is this a sufficient result to show that something is not an affine variety ?

I am not able to prove it ?

Any hints ..

Edit

I want a morphism(regular map) $X\rightarrow X$ which sends x to y.