p(x) be the rational function graphed below, where p and q are 9(x) Question 3 n » Let r(x) = polynomials that have no common factors. Interesting behavior only occurs at EVEN integers. Note: There may be more blanks than necessary. (a). The zeros (& their degrees) for p(x): has O even O odd degree -12-10-8 -6-4 -2 6. 8. 10 12 14 16 -2 has O even O odd degree -4 -6 has O odd degree even -8 -10 (b). The zeros (& their degrees) for q(x): -12 -14 has O even O odd degree -16 has O even O odd degree х%3D has O even O odd degree (c). Does r(x) have a horizontal asymptote? If so, where? What does the end be- havior teii you about the relative degrees of p and q? Use the graph and your answers above to write an equation for r(x). (d). Choose specific values for the even and odd degrees (such as 1 and 2, respectively), but make sure the equation you write has the same end behavior as r(x). 2.

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section3.6: Rational Functions
Problem 93E
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I am looking for help specifically only on subsection (D). 

p(x)
be the rational function graphed below, where p and q are
9(x)
Question 3 n
» Let r(x) =
polynomials that have no common factors. Interesting behavior only occurs at EVEN integers.
Note: There may be more blanks than necessary.
(a).
The zeros (& their degrees) for p(x):
has
O even
O odd
degree
-12-10-8 -6-4 -2
6.
8.
10 12 14 16
-2
has
O even
O odd
degree
-4
-6
has
O odd
degree
even
-8
-10
(b).
The zeros (& their degrees) for q(x):
-12
-14
has
O even
O odd
degree
-16
has
O even
O odd
degree
х%3D
has
O even
O odd
degree
(c).
Does r(x) have a horizontal asymptote? If so, where? What does the end be-
havior teii you about the relative degrees of p and q?
Use the graph and your answers above to write an equation for r(x).
(d).
Choose specific values for the even and odd degrees (such as 1 and 2, respectively), but
make sure the equation you write has the same end behavior as r(x).
2.
Transcribed Image Text:p(x) be the rational function graphed below, where p and q are 9(x) Question 3 n » Let r(x) = polynomials that have no common factors. Interesting behavior only occurs at EVEN integers. Note: There may be more blanks than necessary. (a). The zeros (& their degrees) for p(x): has O even O odd degree -12-10-8 -6-4 -2 6. 8. 10 12 14 16 -2 has O even O odd degree -4 -6 has O odd degree even -8 -10 (b). The zeros (& their degrees) for q(x): -12 -14 has O even O odd degree -16 has O even O odd degree х%3D has O even O odd degree (c). Does r(x) have a horizontal asymptote? If so, where? What does the end be- havior teii you about the relative degrees of p and q? Use the graph and your answers above to write an equation for r(x). (d). Choose specific values for the even and odd degrees (such as 1 and 2, respectively), but make sure the equation you write has the same end behavior as r(x). 2.
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