1. The first question asks which options about asymptotes are correct. 2. Recall the rules for asymptotes of rational functions $f(x) = \frac{P(x)}{Q(x)}$ where $P$ and $Q$ are polynomials: - If degree of numerator $m$ is less than degree of denominator $n$, then $y=0$ is the horizontal asymptote. - If $m = n$, then the horizontal asymptote is $y = \frac{\text{leading coefficient of } P}{\text{leading coefficient of } Q}$. - If $m = n + 1$, then there is an oblique (slant) asymptote found by polynomial division. 3. The statements given are: I. If $m < n$, then $y=0$ is horizontal asymptote. II. If $m = n$, then $y = m$ is horizontal asymptote (this is incorrect as $y=m$ is not the horizontal asymptote; it should be ratio of leading coefficients). III. If $m > n + 1$, then no horizontal or oblique asymptote. IV. If $m = n + 1$, then oblique asymptote exists. 4. From the above, statements I and IV are correct. Statement II is incorrect as stated. Statement III is correct. 5. Therefore, the correct options are I, III, and IV. Final answer: B. I, III, IV