x²-9 have a vertical asymptote at x = 3? Select the answer that best answers the question and describes the x - 3 Does the function f(x) = - reasoning.

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
Does the function f(x) =
x²-9
have a vertical asymptote at x = 3? Select the answer that best answers the question and describes the
x - 3
reasoning.
Since the denominator is 0 when x = 3, there is a vertical asymptote at x = 3.
O Since the numerator is 0 when x = 3, there is a vertical asymptote at x = 3.
We can't tell whether or not there is a vertical asymptote by just looking at the function.
O No. Since limf (x) = 6, f(x) will have a hole at x = 3 and not a vertical asymptote.
x →3
Transcribed Image Text:Does the function f(x) = x²-9 have a vertical asymptote at x = 3? Select the answer that best answers the question and describes the x - 3 reasoning. Since the denominator is 0 when x = 3, there is a vertical asymptote at x = 3. O Since the numerator is 0 when x = 3, there is a vertical asymptote at x = 3. We can't tell whether or not there is a vertical asymptote by just looking at the function. O No. Since limf (x) = 6, f(x) will have a hole at x = 3 and not a vertical asymptote. x →3
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