0 < a <1æ = 11< a < 2 a = 22< x < 3æ = 33 < æ < 4 x = 44 < x < 5 f' (æ)| Positive |f" (x)| Unknown Negative DNE Positive Positive Unknown -5 Negative DNE Negative Positive Unknown The function f is continuous on the interval (0, 5) and is twice differentiable except at a = 2, where the derivatives do not exist (DNE). Information about the first and second derivatives of f for some values of æ in the interval (0, 5) is given in the table above. Which of the following statements could be false? (A The function f has a relative maximum at a = 1. B The function f has a relative minimum at æ = 2. The graph of f has a point of inflection at a = 3. (D The graph of f has a point of inflection at x = 4.
0 < a <1æ = 11< a < 2 a = 22< x < 3æ = 33 < æ < 4 x = 44 < x < 5 f' (æ)| Positive |f" (x)| Unknown Negative DNE Positive Positive Unknown -5 Negative DNE Negative Positive Unknown The function f is continuous on the interval (0, 5) and is twice differentiable except at a = 2, where the derivatives do not exist (DNE). Information about the first and second derivatives of f for some values of æ in the interval (0, 5) is given in the table above. Which of the following statements could be false? (A The function f has a relative maximum at a = 1. B The function f has a relative minimum at æ = 2. The graph of f has a point of inflection at a = 3. (D The graph of f has a point of inflection at x = 4.
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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Transcribed Image Text:0 < x < 1 x = 1|1 < x < 2 x = 22 < x < 3 x = 33 < x < 4 x = 44 < x
| f' (x)| Positive
| f" (x)| Unknown
Negative DNE| Positive
Negative DNE Negative
Positive
Unknown
-5
Positive
Unknown
The function f is continuous on the interval (0, 5) and is twice differentiable except at x =
some values of x in the interval (0, 5) is given in the table above. Which of the following statements could be false?
2, where the derivatives do not exist (DNE). Information about the first and second derivatives of f for
(A
The function f has a relative maximum at x =
1.
В
The function f has a relative minimum at x
2.
The graph of f has a point of inflection at x =
3.
The graph of f has a point of inflection at x =
= 4.
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