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VI. Suppose f is continuous everywhere, f' is differentiable everywhere except at x = -1, and the graph of y = f'(x) is as shown below. Y 4 y = f'(x) 3 2 (-3,0) (1,0) -3 2 (2,-0.5) (0, -0.5) -2 1,-2) (-1, -3) (4, -3) -4 Answer the following questions. Provide brief justifications for your answers. 1. What is the slope of the normal line of fat x=4? 2. Find all <0 where f has a relative extremum, if there are any. ƒ(x) —ƒ(−¹) 3. Evaluate: lim x→-1+ x + 1 4. Which of the following is true 5. Suppose f" (1) is a nonzero flo) f(2), ƒ(0) = ƒ(2), or ƒ(0) > ƒ(2)? wumber. Is it positive or negative? (3,-2)

VI. Suppose f is continuous everywhere, f' is differentiable everywhere except at x = -1, and the graph of y = f'(x) is as shown below. Y 4 y = f'(x) 3 2 (-3,0) (1,0) -3 2 (2,-0.5) (0, -0.5) -2 1,-2) (-1, -3) (4, -3) -4 Answer the following questions. Provide brief justifications for your answers. 1. What is the slope of the normal line of fat x=4? 2. Find all <0 where f has a relative extremum, if there are any. ƒ(x) —ƒ(−¹) 3. Evaluate: lim x→-1+ x + 1 4. Which of the following is true 5. Suppose f" (1) is a nonzero flo) f(2), ƒ(0) = ƒ(2), or ƒ(0) > ƒ(2)? wumber. Is it positive or negative? (3,-2)

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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Answer items 4-6 only.

VI. Suppose f is continuous everywhere, f' is differentiable everywhere except at x = :-1, and the graph of y = f'(x) is as shown below. У y = f'(x) -4 3 (-3,0) (2,-0.5) 3 2 1 (0,-0.5) 1, (-1, -3) (4, -3) -4 Answer the following questions. Provide brief justifications for your answers. at 1. What is the slope of the normal line of f x = 4? 2. Find all <0 where f has a relative extremum, if there are any. f(x) = f(-1) 3. Evaluate: lim x--1+ x+1 4. Which of the following is true? flo)< ƒ(2), ƒ(0) = ƒ(2), or ƒ(0) > ƒ(2)? lumber. Is it positive or negative? 5. Suppose f" (1) is a nonzevo 6. Explain why there exists ct (3, 4) such that ƒ"(c) = −1. -3 4 -2 -3 (1,10) 2 (3,-2) I 110
Transcribed Image Text:VI. Suppose f is continuous everywhere, f' is differentiable everywhere except at x = :-1, and the graph of y = f'(x) is as shown below. У y = f'(x) -4 3 (-3,0) (2,-0.5) 3 2 1 (0,-0.5) 1, (-1, -3) (4, -3) -4 Answer the following questions. Provide brief justifications for your answers. at 1. What is the slope of the normal line of f x = 4? 2. Find all <0 where f has a relative extremum, if there are any. f(x) = f(-1) 3. Evaluate: lim x--1+ x+1 4. Which of the following is true? flo)< ƒ(2), ƒ(0) = ƒ(2), or ƒ(0) > ƒ(2)? lumber. Is it positive or negative? 5. Suppose f" (1) is a nonzevo 6. Explain why there exists ct (3, 4) such that ƒ"(c) = −1. -3 4 -2 -3 (1,10) 2 (3,-2) I 110
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