- 16 Apr '08 00:21 / 1 edit

I case you dont know f(x)= 2 is a horizantal line. the (+2) technically shifts the graph of f(x) =2 to the left 2 units, but on a horizantal line nothing happens, so in general f(x + a ) = 2 for all real numbers a....*Originally posted by golfer1***f(x)= 2 for all real numbers x. What is f(x+2)?**

or at least I hope so..lol - 16 Apr '08 09:33yeah, but consider a slight modification of the Dirichlet's function

f(x) = 2 if x is real, and f(x) = 0 if x is complex ... now you have two answers...

or f(x) = 2 if x is real, and f(x) = Re(x) if x is complex ... now the range of the function is the entire R.

in other words, the question as posed is**incomplete**, without stating the domain of the original function. - 21 Apr '08 16:23 / 1 edit

generally when someone says f(x) = ..., for all real numbers x, I assume R to be the domain.*Originally posted by 3v1l5w1n***yeah, but consider a slight modification of the Dirichlet's function**, without stating the domain of the original function.[/b]

f(x) = 2 if x is real, and f(x) = 0 if x is complex ... now you have two answers...

or f(x) = 2 if x is real, and f(x) = Re(x) if x is complex ... now the range of the function is the entire R.

in other words, the question as posed is [b]incomplete