Questiontion list
Follow the steps for graphing a rational function to graph the function $H(x)=\frac{4 x-24}{36-x^{2}}$. stion y stion 10 stion 11 stion 12 stion 13 stion 14 tion 15 tion 16 tion 17 tion 18 tion 19 tion 20 A. There is a hole in the graph at the point $\left(6,-\frac{1}{3}\right)$. (Type an ordered pair using integers or simplified fractions.) B. There are no holes in the graph.
Determine the behavior of the graph on either side of any vertical asymptotes, if any exist. Select the correct choice and, if necessary, fill in any answer box(es) to complete your choice. A. It approaches $\infty$ on one side of the asymptote(s) at $x=\square$ and $-\infty$ on the other. It approaches either $\infty$ or $-\infty$ on both sides of the asymptote(s) at $x=$ $\square$ $\square$ . (Type integers or simplified fractions. Use a comma to separate answers as needed. Type each answer only once.) B. It approaches $\infty$ on one side of the asymptote(s) at $x=-6$ and $-\infty$ on the other. (Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each answer only once.) C. It approaches either $\infty$ or $-\infty$ on both sides of the asymptote(s) at $x=\square$. $\square$ (Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each answer only once.) D. There is no vertical asymptote.
Determine the horizontal asymptote(s), if any exist. Select the correct choice and, if necessary, fill in the answer box(es) to complete your choice. The function has one horizontal asymptote, $y=0$.
(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 equations.) C. There is 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, $\square$ $\square$. (Type an equation. Use integers or fractions for any numbers in the equation.) B. The function has two oblique asymptotes. The oblique asymptote with a negative slope is $\square$ , and the oblique asymptote with a positive slope is $\square$ $\square$. (Type equations. Use integers or fractions for any numbers in the equations.) C. There is no oblique asymptote.