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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. (C) f(x) has an absolute maximum but no absolute minimum. (D) f(x) has neither an absolute minimum nor an absolute maximum.

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. (C) f(x) has an absolute maximum but no absolute minimum. (D) f(x) has neither an absolute minimum nor an absolute maximum.

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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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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