For questions 3 & 4, use the following graph of f'(x).1.50.5-21.-0.53. How many critical points does f (x) have?А. 1В. 2С.3D. 4E. 5 F. None of these.4. When is f(x) increasing?А.(-4,-2) and (0,2.5) and (4.5, o)В.(0, 3) and (5, ∞)С.(-4,0) and (1, o)D.(-0, -5) and (1, 4) and (5,00)

Consider the graph of the derivative of the function fx. here, the objective is to determine: 3)…

Answered: 3. How many critical points does f (x)…

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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Similar questions

1. Considering the following graph of f(x). -2 -4 -2 2 -2 i. Circle the interval(s) where f '(x) is positive. а) (-infinity. 0), (2, 4) b) (-infinity, 1), (3, 4.5) с) (1,3), (4, 4.5) d) (3, 2), (2, 5) ii. Circle the interval(s) where f '(x) is negative. а) (0, 1), (4.5, 6) b) (0, 2), (4, 4.5), (4.5, 6) c) (-infinity, 1), (3, 4.5), (5, 6) d) (-infinity, -3), (4.5, 6) 6.
4. (-., On the axis below, sketch the graph of a function, f, which has a critical point at a = 1 but for which f'(1) 0. 5 -5 -5 5.
7.
Below is the function f(x). 16 16 6 3- 4 3- 2- 1 -7 -6 -5 -4 -3 -2 -1 -1 -2 -3 --4- 3 --6- 1 12 Over which interval of values is f'> 0? O (4,00) O [4,00) O(-∞0, 4) O(-∞0,4] 0 (-∞0,00] Over which interval of a values is f' 0) O concave down (f"< 0)
10. Find all the numbers for which f (x)<0 if f (x)= x* + 2x' – 7x² – 8x+12. b. (-∞,-2)U(1,2). (-2,1)U(2,0). (-3,–2)U(1,2). c. (-0,–3)U(1,2). а. d. (-2,1)U(1,2). е.
For what value of x does the function f(x) x - 4x attain the absolute minimum in the interval [-3,5]? x = -2 A. В. x = -5 С. x = 5 D. x = 2 ос о в O D O A 1/3
8. For what value of the constants A and B is the function f continuous on (-∞, ∞)? for x 2 LAN
5. What is the domain of the step function? 11.75, if 0 < x < 8 C(x) = { 15.75, if 8 < x < 32 18.50, if 32 < x < 48 A. 11.75,15.75,18.50 B. (0,48] C. [32,48) D. (11.75, 18.50)

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3. How many critical points does f (x) have? А. 1 В. 2 С.3 D. 4 E. 5 F. None of these. 4. When is ƒ (x) increasing? A. (-4,-2) and (0,2.5) and (4.5, ∞) В. (0, 3) and (5, ∞) (-4,0) and (1, ∞) D. (-0, -5) and (1, 4) and (5,0) C.