Use the rational function r(x) = = vertical intercept 4x² + 4 x² + 6x + 9 (a) Find the intercepts. (If an answer does not exist, enter DNE.) horizontal intercept › = (1 (x, r) = (b) Find the asymptotes. (If an answer does not exist, enter DNE.) equation of vertical asymptote equation of horizontal asymptote to answer the questions. (c) Sketch a graph of the rational function. r 30 8 r

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
icon
Related questions
Question
100%
Use the rational function r(x) =
vertical intercept
(a) Find the intercepts. (If an answer does not exist, enter DNE.)
horizontal intercept
› = (1
(x, r) =
4x + 4
x2 + 6x + 9
(b) Find the asymptotes. (If an answer does not exist, enter DNE.)
equation of vertical asymptote
equation of horizontal asymptote
(r) = (
(c) Sketch a graph of the rational function.
r
domain
range
-30
-10-- -20-30
-30 -20 -10
++
4
X
-30 -20 -10
10
20
30
20
30
20
10
-10
to answer the questions.
-20
-30
. .....
(d) State the domain and range of the function. (Enter your answers using interval notation.)
-30 -20 -10
r
30
20
10
-10-
-20
-30
20
10
30
X
ਅ
20
30
Transcribed Image Text:Use the rational function r(x) = vertical intercept (a) Find the intercepts. (If an answer does not exist, enter DNE.) horizontal intercept › = (1 (x, r) = 4x + 4 x2 + 6x + 9 (b) Find the asymptotes. (If an answer does not exist, enter DNE.) equation of vertical asymptote equation of horizontal asymptote (r) = ( (c) Sketch a graph of the rational function. r domain range -30 -10-- -20-30 -30 -20 -10 ++ 4 X -30 -20 -10 10 20 30 20 30 20 10 -10 to answer the questions. -20 -30 . ..... (d) State the domain and range of the function. (Enter your answers using interval notation.) -30 -20 -10 r 30 20 10 -10- -20 -30 20 10 30 X ਅ 20 30
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra for College Students
Algebra for College Students
Algebra
ISBN:
9781285195780
Author:
Jerome E. Kaufmann, Karen L. Schwitters
Publisher:
Cengage Learning
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,
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