I have a function, where T sends Z-->Z, where T(x)=x+5

The only thing I could think of for defining the orbits were orbits like cyclic subgroups under the operation of T (like for instance <1>={1, 6, 11 ...}

but not only would those orbits be infinite, I don't think they are right.

so does anyone have some sort of help to offer on finding orbits of a function with no parameters?

-jackie