5. The function f(x) is a continuous, decreasing function on [0,10] with a critical point at (4,2). Determine if each of the following statements is definitely true, definitely false, or cannot be determined. Explain each answer. (a) f(4) is neither a relative maximum nor a relative minimum. (b) f'(4) = 0 (c) f'(4) <0 (d) f(10) is an absolute minimum of f(x) on [0,10].
5. The function f(x) is a continuous, decreasing function on [0,10] with a critical point at (4,2). Determine if each of the following statements is definitely true, definitely false, or cannot be determined. Explain each answer. (a) f(4) is neither a relative maximum nor a relative minimum. (b) f'(4) = 0 (c) f'(4) <0 (d) f(10) is an absolute minimum of f(x) on [0,10].
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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5 a, b, c, d please :)
![5. The function f(x) is a continuous, decreasing function on [0,10] with a critical point
at (4,2). Determine if each of the following statements is definitely true, definitely false,
or cannot be determined. Explain each answer.
(a) f(4) is neither a relative maximum nor a relative minimum.
(b) f'(4) = 0
(c) f'(4) <0
(d) f(10) is an absolute minimum of f(x) on [0,10].](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc79fee21-4fb9-400b-9fad-1822de48da4e%2F1dfce2c3-8491-456f-9f74-ca92a3393b86%2F261lsfx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:5. The function f(x) is a continuous, decreasing function on [0,10] with a critical point
at (4,2). Determine if each of the following statements is definitely true, definitely false,
or cannot be determined. Explain each answer.
(a) f(4) is neither a relative maximum nor a relative minimum.
(b) f'(4) = 0
(c) f'(4) <0
(d) f(10) is an absolute minimum of f(x) on [0,10].
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