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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. Dr Delems Clerval Lust (5) Hon (c) Find all horizontal asymptotes of f(x). Use limits to 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. Dr Delems Clerval Lust (5) Hon (c) Find all horizontal asymptotes of f(x). Use limits to justify your answer.

Calculus: Early Transcendentals
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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#6 a,b,c,d,e and f from pictures please:)
6. (f) Sketch a graph of f(x). -6 -5 4 -3 -2 -1 3 -2 -1 0 -1 -2 2 3 4 5 6 oil privom hola ano ow 30 in Izew 263) $19 lory izbejoni sip elgnot Upe no lo zebla llo won2 fonol mo 05 e10 zobiz ert nartw gnizoeori olgnontori lo per erit
Transcribed Image Text:6. (f) Sketch a graph of f(x). -6 -5 4 -3 -2 -1 3 -2 -1 0 -1 -2 2 3 4 5 6 oil privom hola ano ow 30 in Izew 263) $19 lory izbejoni sip elgnot Upe no lo zebla llo won2 fonol mo 05 e10 zobiz ert nartw gnizoeori olgnontori lo per erit
6. Consider the function f(x) = ex. (a) What is the domain of f(x)? (b) Find all vertical asymptotes of f(x). Use limits to justify your answer. DT DE terval (c) Find all horizontal asymptotes of f(x). Use limits to justify your answer. (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. Continued on next page
Transcribed Image Text:6. Consider the function f(x) = ex. (a) What is the domain of f(x)? (b) Find all vertical asymptotes of f(x). Use limits to justify your answer. DT DE terval (c) Find all horizontal asymptotes of f(x). Use limits to justify your answer. (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. Continued on next page
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