Follow the steps for graphing a rational function to graph the function H(x) = x° - 64 x2 - 36 lo O D. There is no x-intercept. 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. FRI O A. The function has one vertical asymptote, 29 (Type an equation. Use integers or fractions for any numbers in the equation.) B. The function has three vertical asymptotes. The leftmost asymptote is (Type equations. Use integers or fractions for any numbers in the equations.) the middle asymptote is and the rightmost asymptote is O C. 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 D. There is 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. O A. It approaches o on one side of the asymptote(s) at x = and 0o on the other. It approaches either oo or - 0o on both sides of the asymptote(s) at ents (Type integers or simplified fractions. Use a comma to separate answers as needed. Type each answer only once.) nts O B. It approaches ∞ on one side of the asymptote(s) at x = (Type integer or simplified fraction. Use a comma to separate answers as needed. Type each answer only once.) and - 00 on the other. m 2 0o on both sides of the asymptote(s) at x = Sco O C. It approaches either 00 or (Type integer or simplified fraction. Use a comma to separate answers as needed. Type each answer only once.) O D. There is no vertical asymptote. Scor

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter4: Polynomial And Rational Functions
Section4.6: Rational Functions
Problem 89E
icon
Related questions
Question
Follow the steps for graphing a rational function to graph the function H(x)=
x - 64
x2 - 36
lo
O D. There is no x-intercept.
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.
ERI
O A. The function has one vertical asymptote,
29
(Type an equation. Use integers or fractions for any numbers in the equation.)
B.
The function has three vertical asymptotes. The leftmost asymptote is
the middle asymptote is
and the rightmost asymptote is
(Type equations. Use integers or fractions for any numbers in the equations.)
O C. 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 D. There is 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.
O A. It approaches ∞ on one side of the asymptote(s) at x =
and
- co on the other. It approaches either oo or - ∞ on both sides of the asymptote(s) at
ents
(Type integers or simplified fractions. Use a comma to separate answers as needed. Type each answer only once.)
nts
B. It approaches ∞ on one side of the asymptote(s) at x =
(Type integer or simplified fraction. Use a comma to separate answers as needed. Type each answer only once.)
and - 00 on the other.
m 2
0o on both sides of the asymptote(s) at x =
Sco
O C. It approaches either 0 or
(Type integer or simplified fraction. Use a comma to separate answers as needed. Type each answer only once.)
O D. There is no vertical asymptote.
Scor
Transcribed Image Text:Follow the steps for graphing a rational function to graph the function H(x)= x - 64 x2 - 36 lo O D. There is no x-intercept. 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. ERI O A. The function has one vertical asymptote, 29 (Type an equation. Use integers or fractions for any numbers in the equation.) B. The function has three vertical asymptotes. The leftmost asymptote is the middle asymptote is and the rightmost asymptote is (Type equations. Use integers or fractions for any numbers in the equations.) O C. 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 D. There is 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. O A. It approaches ∞ on one side of the asymptote(s) at x = and - co on the other. It approaches either oo or - ∞ on both sides of the asymptote(s) at ents (Type integers or simplified fractions. Use a comma to separate answers as needed. Type each answer only once.) nts B. It approaches ∞ on one side of the asymptote(s) at x = (Type integer or simplified fraction. Use a comma to separate answers as needed. Type each answer only once.) and - 00 on the other. m 2 0o on both sides of the asymptote(s) at x = Sco O C. It approaches either 0 or (Type integer or simplified fraction. Use a comma to separate answers as needed. Type each answer only once.) O D. There is no vertical asymptote. Scor
and touch but not cross the x-aals at x =
Follow the steps for graphing a rational function to graph the function H(x) =
x - 64
x2 - 36
Locate the intercept(s) of the graph. Select the correct choice below and, if necessary fill in the answer box(es) to complete your choice.
No
O A. The graph has x-intercept(s)
and y-intercept
(Simplify your answers. Type integers or fractions. Use a comma to separate answers as needed. Type each answer only once.)
O B. The graph has y-intercept
and no x-intercept.
(Simplify your answer. Type an integer or a fraction.)
O C. The graph has x-intercept(s)
and no y-intercept.
(Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.)
O D. The graph has neither x-intercepts nor y-intercepts.
Determine the behavior of the graph of H at any x-intercepts. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice.
O A. The graph will cross the x-axis at x =
(Type integers or simplified fractions. Use a comma to separate answers as needed. Type each answer only once.)
(0)
O B. The graph will touch but not cross the x-axis at x=
nents
(Type integer or simplified fraction. Use a comma to separate answers as needed. Type each answer only once.)
O C. The graph will cross the x-axis at x =
(Type integer or simplified fraction. Use a comma to separate answers as needed. Type each answer only once.)
ents
O D. There is no x-intercept.
kam 2
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.
O A. The function has one vertical asymptote,
Transcribed Image Text:and touch but not cross the x-aals at x = Follow the steps for graphing a rational function to graph the function H(x) = x - 64 x2 - 36 Locate the intercept(s) of the graph. Select the correct choice below and, if necessary fill in the answer box(es) to complete your choice. No O A. The graph has x-intercept(s) and y-intercept (Simplify your answers. Type integers or fractions. Use a comma to separate answers as needed. Type each answer only once.) O B. The graph has y-intercept and no x-intercept. (Simplify your answer. Type an integer or a fraction.) O C. The graph has x-intercept(s) and no y-intercept. (Simplify your answer. Type an integer or a fraction. Use a comma to separate answers as needed. Type each answer only once.) O D. The graph has neither x-intercepts nor y-intercepts. Determine the behavior of the graph of H at any x-intercepts. Select the correct choice below and, if necessary, fill in the answer box(es) to complete your choice. O A. The graph will cross the x-axis at x = (Type integers or simplified fractions. Use a comma to separate answers as needed. Type each answer only once.) (0) O B. The graph will touch but not cross the x-axis at x= nents (Type integer or simplified fraction. Use a comma to separate answers as needed. Type each answer only once.) O C. The graph will cross the x-axis at x = (Type integer or simplified fraction. Use a comma to separate answers as needed. Type each answer only once.) ents O D. There is no x-intercept. kam 2 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. O A. The function has one vertical asymptote,
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Functions and Change: A Modeling Approach to Coll…
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Algebra and Trigonometry (MindTap Course List)
Algebra and Trigonometry (MindTap Course List)
Algebra
ISBN:
9781305071742
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Intermediate Algebra
Intermediate Algebra
Algebra
ISBN:
9780998625720
Author:
Lynn Marecek
Publisher:
OpenStax College
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax