f(x) have an asymptote if g(x) is never zero? Give reasons for your answer. g(x) Suppose that f(x) and g(x) are polynomials in x. Can the graph of Choose the correct answer below. O A. The graph cannot have an asymptote if g(x) is never equal to zero, because an asymptote only occurs when lim g(x) = 00. O B. The graph can have an asymptote because an asymptote occurs if either lim f(x) > lim g(x) or lim f(x) < lim g(x). Both are not dependent on g(x) being equal to zero. X00 X00 X - 00 O C. The graph can have an asymptote if f(x) has a larger degree than g(x), it does not depend on g(x) being equal to zero. OD. f(x) The graph can have an asymptote because a horizontal asymptote occurs if either lim h(x) = b or lim h(x) = b. Both are not dependent on g(x) being equal to zero. g(x) Let h(x) = X00 X- 00

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question
f(x)
have an asymptote if g(x) is never zero? Give reasons for your answer.
g(x)
Suppose that f(x) and g(x) are polynomials in x. Can the graph of
Choose the correct answer below.
O A. The graph cannot have an asymptote if g(x) is never equal to zero, because an asymptote only occurs when lim g(x) = o0.
O B. The graph can have an asymptote because an asymptote occurs if either lim f(x) > lim g(x) or lim f(x) < lim g(x). Both are not dependent on g(x) being equal to zero.
X00
X00
X - 00
OC. The graph can have an asymptote if f(x) has a larger degree than g(x), it does not depend on g(x) being equal to zero.
OD.
Let h(x) =
f(x)
The graph can have an asymptote because a horizontal asymptote occurs if either lim h(x) = b or lim h(x) = b. Both are not dependent on g(x) being equal to zero.
g(x)
X00
X - 00
Transcribed Image Text:f(x) have an asymptote if g(x) is never zero? Give reasons for your answer. g(x) Suppose that f(x) and g(x) are polynomials in x. Can the graph of Choose the correct answer below. O A. The graph cannot have an asymptote if g(x) is never equal to zero, because an asymptote only occurs when lim g(x) = o0. O B. The graph can have an asymptote because an asymptote occurs if either lim f(x) > lim g(x) or lim f(x) < lim g(x). Both are not dependent on g(x) being equal to zero. X00 X00 X - 00 OC. The graph can have an asymptote if f(x) has a larger degree than g(x), it does not depend on g(x) being equal to zero. OD. Let h(x) = f(x) The graph can have an asymptote because a horizontal asymptote occurs if either lim h(x) = b or lim h(x) = b. Both are not dependent on g(x) being equal to zero. g(x) X00 X - 00
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