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f(x) = 4x³15x² 18x+6

f(x) = 4x³15x² 18x+6

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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11 12 13 Handwritten
For numbers 11-20, refer to 11. What is the domain of f(x)? (A) (-∞0,00) (B) (-∞, -1/1] and (3,00) 12. Determine f'(x) (A) f'(x) = 6x² 18x12 (B) f'(x)= 12x²30x18 13. What are the critical numbers of f(x)? (A) = 1 and x = -3 (B) 3) (-∞, -1] ₁ (B) x = - -- and x = -3 14. On which interval(s) is the graph of f(x) increasing? (A) (-∞0, ∞) (B) and (3, 0) 15. On which interval(s) is the graph of f(x) decreasing? (A) (-∞, ∞) -∞, - (A) f(x) = 4x³15x² 18x+6 and (3,00) 16. f(x) has a relative maximum value at x = 43 (B) 3 4 (A) 18. f(x) has a relative minimum at x = 43 (B) 3 4 19. f(x) has an inflection point at (A) (-1,5) (C) (D) (-∞, -1] U [1, ∞) (C) f'(x) = 2x²5x3 (D) f'(x) = 24x - 30 (C) x = -1 and x = 3 1 (B) (3,-75) (D) x = 17. On [1,2], f(x) has an absolute minimum value of 257 (A) (B) -58 (C) 8 (C) ©) [ - 12,3] (D) (-∞, -1] U [1, ∞) (©) [ - 12,³] (D) (-∞, -1] U [1,00) (C) -1/2 and a 3 43 4 (C) - 12/2 (Ⓒ) (14) 20. Which of the following is always true about the graph of f(x) on (-1, 2)? (A) f(x) has an absolute maximum and an absolute minimum. (B) f(x) has an absolute minimum but no absolute maximum. (D) -75 (D) -75 (D)-75 (D) (-257) (C) f(x) has an absolute maximum but no absolute minimum. (D) f(x) has neither an absolute minimum nor an absolute maximum.
Transcribed Image Text:For numbers 11-20, refer to 11. What is the domain of f(x)? (A) (-∞0,00) (B) (-∞, -1/1] and (3,00) 12. Determine f'(x) (A) f'(x) = 6x² 18x12 (B) f'(x)= 12x²30x18 13. What are the critical numbers of f(x)? (A) = 1 and x = -3 (B) 3) (-∞, -1] ₁ (B) x = - -- and x = -3 14. On which interval(s) is the graph of f(x) increasing? (A) (-∞0, ∞) (B) and (3, 0) 15. On which interval(s) is the graph of f(x) decreasing? (A) (-∞, ∞) -∞, - (A) f(x) = 4x³15x² 18x+6 and (3,00) 16. f(x) has a relative maximum value at x = 43 (B) 3 4 (A) 18. f(x) has a relative minimum at x = 43 (B) 3 4 19. f(x) has an inflection point at (A) (-1,5) (C) (D) (-∞, -1] U [1, ∞) (C) f'(x) = 2x²5x3 (D) f'(x) = 24x - 30 (C) x = -1 and x = 3 1 (B) (3,-75) (D) x = 17. On [1,2], f(x) has an absolute minimum value of 257 (A) (B) -58 (C) 8 (C) ©) [ - 12,3] (D) (-∞, -1] U [1, ∞) (©) [ - 12,³] (D) (-∞, -1] U [1,00) (C) -1/2 and a 3 43 4 (C) - 12/2 (Ⓒ) (14) 20. Which of the following is always true about the graph of f(x) on (-1, 2)? (A) f(x) has an absolute maximum and an absolute minimum. (B) f(x) has an absolute minimum but no absolute maximum. (D) -75 (D) -75 (D)-75 (D) (-257) (C) f(x) has an absolute maximum but no absolute minimum. (D) f(x) has neither an absolute minimum nor an absolute maximum.
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