Sketch the graph of ONE function that satisfies, ALL of the following conditions. Label ALL important features: local extrema, inflection points, asymptotes, e i f(2)= 2,₁ f(0) = 0₁ f(s) = 1 ii. f'(-2)=0, f'(s)=0 lii. lim fcx)=0, lim fcx) = -00, lim fcx) = 00 X-32 X->2+ 81118 iv. f'cx) 0 in (-00,-2) V (5,00) vi. f" (x) <0 in (-3,2). vi f" (x) so in (-01-3) V (2,0 ∞0)

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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Sketch the graph of ONE function that satisfies,
ALL of the following conditions Label ALL important
features: local extrema, inflection points, asymptotes, etc.
f(s)=1
1. f(2)= 2₁ f(0) = 0,
ii. f'(-2) = 0, f'(s) =0
lii. lim fcx)=0, lim fcx) = -00, lim fcx) = 00
8-1-8
X-32
X->2+
iv. f'cx) <o in (-2,2) U (2,5)
v. f'(x) >0 in (-00,-2) V (5,00)
vi. f" (x) <0 in (-3,2).
Vis f" (x) >o in
(-01-3) V (2,00)
Transcribed Image Text:Sketch the graph of ONE function that satisfies, ALL of the following conditions Label ALL important features: local extrema, inflection points, asymptotes, etc. f(s)=1 1. f(2)= 2₁ f(0) = 0, ii. f'(-2) = 0, f'(s) =0 lii. lim fcx)=0, lim fcx) = -00, lim fcx) = 00 8-1-8 X-32 X->2+ iv. f'cx) <o in (-2,2) U (2,5) v. f'(x) >0 in (-00,-2) V (5,00) vi. f" (x) <0 in (-3,2). Vis f" (x) >o in (-01-3) V (2,00)
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