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4. Sketch the graph of a function that satisfies ALL of the following conditions: • D: {x ER | x# 4} f'(x) < 0, when xe (-1,0)U(2, 4) only lim_f(x) = 1 x-17 lim_ f(x) = 2 x-1+ • f'(0) = 0 lim f(x) = -3 . f(-1) = -3 f'(2) = DNE

4. Sketch the graph of a function that satisfies ALL of the following conditions: • D: {x ER | x# 4} f'(x) < 0, when xe (-1,0)U(2, 4) only lim_f(x) = 1 x-17 lim_ f(x) = 2 x-1+ • f'(0) = 0 lim f(x) = -3 . f(-1) = -3 f'(2) = DNE

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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4. Sketch the graph of a function that satisfies ALL of the following conditions: • D: {x ER | x# 4} f'(x) < 0, when xe (-1,0)U(2, 4) only lim_f(x) = 1 x-17 lim_ f(x) = 2 x-1+ • f'(0) = 0 lim f(x) = -3 . f(-1) = -3 f'(2) = DNE
Transcribed Image Text:4. Sketch the graph of a function that satisfies ALL of the following conditions: • D: {x ER | x# 4} f'(x) < 0, when xe (-1,0)U(2, 4) only lim_f(x) = 1 x-17 lim_ f(x) = 2 x-1+ • f'(0) = 0 lim f(x) = -3 . f(-1) = -3 f'(2) = DNE
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2. Create a graph of a function which satisfies all of the given conditions. R = {y ER} D = {x € R|x = -2} lim f(x) = -2 lim f(x) = 2 f(3) =0 x-3- • lim f(x) = -1 x-1 f(1) = 3 lim f(x) = ∞ lim f(x) = -00 lim_ f(x) = 0 x--2- X-→-2+ x → ∞
Transcribed Image Text:2. Create a graph of a function which satisfies all of the given conditions. R = {y ER} D = {x € R|x = -2} lim f(x) = -2 lim f(x) = 2 f(3) =0 x-3- • lim f(x) = -1 x-1 f(1) = 3 lim f(x) = ∞ lim f(x) = -00 lim_ f(x) = 0 x--2- X-→-2+ x → ∞
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