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...
Related questions
Question
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3d3efcf4-7311-4a63-8a20-2fbc5d9b12b6%2Ff1c80347-6914-4b00-adbe-a0fa225418cb%2Fvfrnkdf_processed.jpeg&w=3840&q=75)
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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