QuestionFollow the steps for graphing a rational function to graph the function $R(x)=\frac{x^{2}+x-12}{x-4}$. n. Ine runcuon nas one norizontal asymptote, $\square$ (Type an equation. Use integers or fractions for any numbers in the equation.) B. The function has two horizontal asymptotes. The top asymptote is $\square$ and the bottom asymptote is $\square$ (Type equations. Use integers or fractions for any numbers in the equation.) C. The function has no horizontal asymptote.
Determine the oblique asymptote(s), if any exist. Select the correct choice and, if necessary, fill in the answer box(es) to complete your choice. A. The function has one oblique asymptote, $y=x+5$. (Type an equation. Use integers or fractions for any numbers in the equation.) B. The function has two oblique asymptotes. The oblique asymptote with negative slope is $\square$ and the oblique asymptote with positive slope is $\square$ . (Type equations. Use integers or fractions for any numbers in the equations.) C. The function has no oblique asymptote.
Determine the points, if any, at which the graph of R intersects the horizontal or oblique asymptote, if one exists. Select the correct choice and, if necessary, fill in the answer box to complete your choice. A. The graph of $R$ intersects the horizontal or oblique asymptote at $\square$ . (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) B. The graph of $R$ intersects the horizontal or oblique asymptote at infinitely many points. C. There is no point at which the graph of R intersects the horizontal or oblique asymptote. D. There is no horizontal or oblique asymptote. and fill in the answer box(es) to complete your choice. A. The graph of $R$ is below the $x$-axis on the interval(s) $\square$ (Type your answer in interval notation. Use a comma to separate answers as needed.) B. The graph of $R$ is above the $x$-axis on the interval(s) $\square$ $\square$. (Type your answer in interval notation. Use a comma to separate answers as needed.) C. The graph of $R$ is above the $x$-axis on the interval(s) $(-4,3) \cup(4, \infty)$ and below the $x$-axis on the interval(s) $(-\infty,-4) \cup(3, \infty)$. $\square$ (Type your answers in interval notation. Use a comma to separate answers as needed.)