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6. Consider the function f(x) = e¹/x. (a) What is the domain of f(x)? (b) Find all vertical asymptotes of f(x). Use limits to justify your answer. Tim ex X->3 lim f(x) X-0 = = 60 = 40 .. VA @ x = 0 (-3,0)(0, x) (c) Find all horizontal asymptotes of f(x). Use limits to justify your answer. lim 8-18 f(x) = lim elx Continued on next page X-78 = eº = 1 HA@y=1 (d) Find where f(x) is increasing and where f(x) is decreasing and find all relative maximums and minimums. Justify your answer. (e) Find where f(x) is concave up and where f(x) is concave down and find all inflection points of f(x). Justify your answer.

6. Consider the function f(x) = e¹/x. (a) What is the domain of f(x)? (b) Find all vertical asymptotes of f(x). Use limits to justify your answer. Tim ex X->3 lim f(x) X-0 = = 60 = 40 .. VA @ x = 0 (-3,0)(0, x) (c) Find all horizontal asymptotes of f(x). Use limits to justify your answer. lim 8-18 f(x) = lim elx Continued on next page X-78 = eº = 1 HA@y=1 (d) Find where f(x) is increasing and where f(x) is decreasing and find all relative maximums and minimums. Justify your answer. (e) Find where f(x) is concave up and where f(x) is concave down and find all inflection points of f(x). Justify your answer.

College Algebra
College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter3: Functions
Section: Chapter Questions
Problem 30RE: For the following exercises, use the graphs to determine the intervals on which the functions are...
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6. Consider the function f(x) = e¹l/x. (a) What is the domain of f(x)? (b) Find all vertical asymptotes of f(x). Use limits to justify your answer. Tim ex X->0 lim f(x) 6-4 = 60 = 10 .. VA @ x = 0 (-3,0) U20, ∞) (c) Find all horizontal asymptotes of f(x). Use limits to justify your answer. Tim 8-8 lim f(x) elx X-8 Continued on next page = e° = 1 HA@y=1 (d) Find where f(x) is increasing and where f(x) is decreasing and find all relative maximums and minimums. Justify your answer. Oxens (e) Find where f(x) is concave up and where f(x) is concave down and find all inflection points of f(x). Justify your answer.
Transcribed Image Text:6. Consider the function f(x) = e¹l/x. (a) What is the domain of f(x)? (b) Find all vertical asymptotes of f(x). Use limits to justify your answer. Tim ex X->0 lim f(x) 6-4 = 60 = 10 .. VA @ x = 0 (-3,0) U20, ∞) (c) Find all horizontal asymptotes of f(x). Use limits to justify your answer. Tim 8-8 lim f(x) elx X-8 Continued on next page = e° = 1 HA@y=1 (d) Find where f(x) is increasing and where f(x) is decreasing and find all relative maximums and minimums. Justify your answer. Oxens (e) Find where f(x) is concave up and where f(x) is concave down and find all inflection points of f(x). Justify your answer.
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