Follow the steps for graphing a rational function to graph the function R(x) = x²+x-12 X-4 C Determine the vertical asymptote(s), if one exists. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The function has one vertical asymptote, x=4. (Type an equation. Use integers or fractions for any numbers in the equation.) OB. The function has two vertical asymptotes. The leftmost asymptote is and the rightmost asymptote is (Type equations. Use integers or fractions for any numbers in the equations.) O C. The function has three vertical asymptotes. The leftmost asymptote is, the middle asymptote is (Type equations. Use integers or fractions for any numbers in the equations.) OD. The function has no vertical asymptote. and the rightmost asymptote is Determine the behavior of the graph on either side of any vertical asymptotes, if one exists. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. ⒸA. It approaches ∞ on one side of the asymptote(s) at x = and on the other. It approaches either ∞ or -∞o on both sides of the asymptote(s) at x = needed. Type each answer only once.) (Type integers or simplified fractions. Use a comma to separate answers OB. It approaches either ∞ or -∞ on both sides of the asymptote(s) at x = (Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each answer only once.) OC. It approaches ∞o on one side of the asymptote(s) at x = and - ∞ on the other. (Type an integer or a simplified fraction. Use comma to separate answers as needed. Type each answer only once.) O D. The function has no vertical asymptote.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter1: Functions
Section1.5: Polynomial And Rational Functions
Problem 42E: Write an equation that defines a rational function with a vertical asymptote at x=2 and a horizontal...
icon
Related questions
Question

Please help me answer this question.

Follow the steps for graphing a rational function to graph the function R(x)=
x²+x-12
X-4
(---)
Determine the vertical asymptote(s), if one exists. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
A. The function has one vertical asymptote, x=4.
(Type an equation. Use integers or fractions for any numbers in the equation.)
OB. The function has two vertical asymptotes. The leftmost asymptote is and the rightmost asymptote is
(Type equations. Use integers or fractions for any numbers in the equations.)
C. The function has three vertical asymptotes. The leftmost asymptote is, the middle asymptote is
(Type equations. Use integers or fractions for any numbers in the equations.)
OD. The function has no vertical asymptote.
Determine the behavior of the graph on either side of any vertical asymptotes, if one exists. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
, and the rightmost asymptote is
ⒸA. It approaches ∞ on one side of the asymptote(s) at x = =and - ∞ on the other. It approaches either ∞ or -∞ on both sides of the asymptote(s) at x =
(Type integers or simplified fractions. Use a comma to separate answers as needed. Type each answer only once.)
B. It approaches either ∞ or - ∞ on both sides of the asymptote(s) at x =
(Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each answer only once.)
OC. It approaches ∞ on one side of the asymptote(s) at x = and -∞o on the other.
(Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each answer only once.)
OD. The function has no vertical asymptote.
Transcribed Image Text:Follow the steps for graphing a rational function to graph the function R(x)= x²+x-12 X-4 (---) Determine the vertical asymptote(s), if one exists. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. A. The function has one vertical asymptote, x=4. (Type an equation. Use integers or fractions for any numbers in the equation.) OB. The function has two vertical asymptotes. The leftmost asymptote is and the rightmost asymptote is (Type equations. Use integers or fractions for any numbers in the equations.) C. The function has three vertical asymptotes. The leftmost asymptote is, the middle asymptote is (Type equations. Use integers or fractions for any numbers in the equations.) OD. The function has no vertical asymptote. Determine the behavior of the graph on either side of any vertical asymptotes, if one exists. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. , and the rightmost asymptote is ⒸA. It approaches ∞ on one side of the asymptote(s) at x = =and - ∞ on the other. It approaches either ∞ or -∞ on both sides of the asymptote(s) at x = (Type integers or simplified fractions. Use a comma to separate answers as needed. Type each answer only once.) B. It approaches either ∞ or - ∞ on both sides of the asymptote(s) at x = (Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each answer only once.) OC. It approaches ∞ on one side of the asymptote(s) at x = and -∞o on the other. (Type an integer or a simplified fraction. Use a comma to separate answers as needed. Type each answer only once.) OD. The function has no vertical asymptote.
Expert Solution
steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Calculus For The Life Sciences
Calculus For The Life Sciences
Calculus
ISBN:
9780321964038
Author:
GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:
Pearson Addison Wesley,
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Trigonometry (MindTap Course List)
Trigonometry (MindTap Course List)
Trigonometry
ISBN:
9781337278461
Author:
Ron Larson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781337282291
Author:
Ron Larson
Publisher:
Cengage Learning