Suppose p/q is a rational function where the degree of p is 1 greater than the degree of q. Using polynomial long division, p/q can be written as q(x) p(x) q(x) r(x)/s(x)→0 as x→∞o. This fact implies that (b) Find the vertical asymptote of f. Select the correct choice below, and, if necessary, fill in the answer box to complete your choice. OA. The vertical asymptote of f is x = (Type an integer or a fraction.) OB. There are no vertical asymptotes. (c) Graph f and all of its asymptotes with a graphing utility. Choose the correct graph below. O A. Q mx + b when x is large. The line y=mx+b is an oblique (or slant) asymptote of p/q. Complete parts (a) through (c) for the function f(x) = OB. Q Q O C. =mx+b+ Q Q s(x) where r/s is a rational function with the property x²-x+7 3x-1 O D.

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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p(x)
Suppose p/q is a rational function where the degree of p is 1 greater than the degree of q. Using polynomial long division, p/q can be written as = mx + b + where r/s is a rational function with the property
q(x)
r(x)
s(x)
p(x)
r(x)/s(x)→0 as x→ +∞o. This fact implies that
q(x)
(b) Find the vertical asymptote of f. Select the correct choice below, and, if necessary, fill in the answer box to complete your choice.
OA. The vertical asymptote of f is x =
OB. There are no vertical asymptotes.
x²-x+7
mx + b when x is large. The line y = mx + b is an oblique (or slant) asymptote of p/q. Complete parts (a) through (c) for the function f(x) =
3x - 1
O A.
(Type an integer or a fraction.)
(c) Graph f and all of its asymptotes with a graphing utility.
Choose the correct graph below.
OB.
The window setting for all graphs is [-6, 6, 1] by [-6,6,11.
Q
O C.
H.
O D.
Transcribed Image Text:p(x) Suppose p/q is a rational function where the degree of p is 1 greater than the degree of q. Using polynomial long division, p/q can be written as = mx + b + where r/s is a rational function with the property q(x) r(x) s(x) p(x) r(x)/s(x)→0 as x→ +∞o. This fact implies that q(x) (b) Find the vertical asymptote of f. Select the correct choice below, and, if necessary, fill in the answer box to complete your choice. OA. The vertical asymptote of f is x = OB. There are no vertical asymptotes. x²-x+7 mx + b when x is large. The line y = mx + b is an oblique (or slant) asymptote of p/q. Complete parts (a) through (c) for the function f(x) = 3x - 1 O A. (Type an integer or a fraction.) (c) Graph f and all of its asymptotes with a graphing utility. Choose the correct graph below. OB. The window setting for all graphs is [-6, 6, 1] by [-6,6,11. Q O C. H. O D.
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