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Consider the function f(x) = (a) The domain of f(x) is √3x² +96-12 x-4 (b) The only potential vertical asymptote is at x = a where a We compute the following limits. lim f(x) = xa lim_f(x) = x→a+ Is x = a a vertical asymptote for f(x)? A. Yes B. No (c) To find the horizontal asymptotes of f(x), we compute lim_f(x)= 8118 lim_ f(x) = H4+X How many horizontal asymptotes does f(x) have? A. None B. Three C. One D. Two (d) Based on the above information, provide a reasonable sketch of the graph of f(x).

Consider the function f(x) = (a) The domain of f(x) is √3x² +96-12 x-4 (b) The only potential vertical asymptote is at x = a where a We compute the following limits. lim f(x) = xa lim_f(x) = x→a+ Is x = a a vertical asymptote for f(x)? A. Yes B. No (c) To find the horizontal asymptotes of f(x), we compute lim_f(x)= 8118 lim_ f(x) = H4+X How many horizontal asymptotes does f(x) have? A. None B. Three C. One D. Two (d) Based on the above information, provide a reasonable sketch of the graph of f(x).

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Need (a) and (d) please
Consider the function f(x) = (a) The domain of f(x) is (b) The only potential vertical asymptote is at x = a where a = We compute the following limits. lim f(x) = xa lim f(x) = x→a+ √3x² +96-12 x-4 Is x = a a vertical asymptote for f(x)? A. Yes B. No (c) To find the horizontal asymptotes of f(x), we compute lim_f(x) = _lim_f(x) = 8118 x→+∞ How many horizontal asymptotes does f(x) have? A. None B. Three C. One D. Two (d) Based on the above information, provide a reasonable sketch of the graph of f(x).
Transcribed Image Text:Consider the function f(x) = (a) The domain of f(x) is (b) The only potential vertical asymptote is at x = a where a = We compute the following limits. lim f(x) = xa lim f(x) = x→a+ √3x² +96-12 x-4 Is x = a a vertical asymptote for f(x)? A. Yes B. No (c) To find the horizontal asymptotes of f(x), we compute lim_f(x) = _lim_f(x) = 8118 x→+∞ How many horizontal asymptotes does f(x) have? A. None B. Three C. One D. Two (d) Based on the above information, provide a reasonable sketch of the graph of f(x).
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