Final answer:
The given rational function does not have a horizontal asymptote corresponding to any of the options provided; the correct horizontal asymptote is y=0, so the answer should be (A) None.
The correct answer is A.
Step-by-step explanation:
The horizontal asymptote of a rational function can be determined by examining the degrees of the numerator and the denominator. For the given function f(x) = (x^2 + 4x - 7)/(x - 7), we see that the degree of the numerator is 2 and the degree of the denominator is 1. When the degree of the numerator is one more than the degree of the denominator, the horizontal asymptote is at y equal to the leading coefficient of the numerator divided by the leading coefficient of the denominator.
In this case, the leading coefficient of the numerator is 1 and the leading coefficient of the denominator is 1, hence the horizontal asymptote is y = 0. However, this answer is not listed in the available options, suggesting a mistake in the question or the options provided. The correct answer should be (A) None, since none of the given options match the calculated asymptote.