The rational function f is defined as, where h and g are polynomials. The degree of h is m and the degree of g is n.
Which of the following statements are TRUE?

I. If m > n the absolute value of the function approaches positive infinity as x gets very large.

II. If m < n the value of the function approaches zero as x gets very large.

III. If m = n the value of the function approaches a constant as x gets very large.