I am not sure I understand the question.

Translated from what? After answering the question, it seems it should be a translation of very simple functions like sin(x) and 1/x.

The range of what: of g, which you need to create? If so, then this is a strange way to to say 2 ≤ g(x) ≤ 4. Claiming that {g(x) | x ∈ ℝ}, which is the range of g(x), coincides with {g(x) | x ∈ ℝ, 2 ≤ g(x) ≤ 4} is like saying, "My children are those of my children who are between the ages of 2 and 4" instead of simply "My children are between the ages of 2 and 4". Also, do you need just to draw the graph, as the question asks, or to come up with a formula?

What is a circle graph?

Yes, for such f(x) we have 2 ≤ f(x) ≤ 4 for all x ∈ ℝ.

These functions do not take the values 3 instead of the required -3. And, of course, there are infinitely many other functions with these properties, but they may need to be given by more complex (e.g., piecewise) definitions. Finally, if h is indeed the intended name for a new function and not something that was defined earlier, then you probably should call the function h(x) and not f(x).