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
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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Question
Answer items 4-6 only.
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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