Math  /  Algebra

QuestionFollow the steps for graphing a rational function to graph the function R(x)=x2+x12x4R(x)=\frac{x^{2}+x-12}{x-4}. (Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each answer only once.) C. The graph will touch the xx-axis at x=x= \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 xx-intercept.
Determine the vertical 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 vertical asymptote, x=4x=4. (Type an equation. Use integers or fractions for any numbers in the equation.) B. The function has two vertical asymptotes. The leftmost asymptote is \square and the rightmost asymptote is \square . (Type equations. Use integers or fractions for any numbers in the equations.) C. The function has three vertical asymptotes. The leftmost asymptote is \square , the middle asymptote is \square , and the rightmost asymptote is \square . (Type equations. Use integers or fractions for any numbers in the equations.) D. The function has no vertical asymptote.
Determine the hole, if it exists. Select the correct choice and, if necessary, fill in the answer boxt complete your choice. A. There is a hole in the graph at the point \square . (Type an ordered pair using integers or 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 the answer box(es) to complete your choice. A. It approaches \infty on one side of the asymptote(s) at x=x= \square and -\infty on the other. It approaches either \infty or -\infty on both sides of the asymptote(s) at x=x= \square . (Type integers or simplified fractions. Use a comma to separate answers as needed. Type each answer only once.) B. It approaches either \infty or -\infty on both sides of the asymptote(s) at x=\mathrm{x}= \square . (Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each answer only once.)
\square C. It approaches \infty on one side of the asymptote(s) at x=x= 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.) D. The function has no vertical asymptote.

Studdy Solution
C. The graph will touch the xx-axis at x=4,3x = -4, 3.
A. The function has one vertical asymptote, x=4x = 4.
B. There are no holes in the graph.
C. It approaches \infty on one side of the asymptote(s) at x=4x = 4 and -\infty on the other.

View Full Solution - Free
Was this helpful?

Studdy solves anything!

banner

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

ParentsInfluencer programContactPolicyTerms
TwitterInstagramFacebookTikTokDiscord