Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter6: The Trigonometric Functions
Section6.4: Values Of The Trigonometric Functions
Problem 19E
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0 <I<2 =22<z <4I=4 4 <I<6 I= 6 6 <I< 8 I= 8 8 <I<9
f' (z)| Unknown
f" (z) Negative
Negative
Negative DNE Positive
Positive DNE Negative
Unknown
-1
Negative
Unknown
The function f is continuous on the interval (0,9) and is twice differentiable except at z = 6, where the derivatives do not exist (DNE). Information about the first and second derivatives of f for
some values of I in the interval (0, 9) is given in the table above. Which of the following statements could be false?
A
The function f has a relative maximum at z = 2.
B
The graph of f has a point of inflection at z = 4.
The function f has a relative minimum at z = 6.
The graph of f has a point of inflection at z= 8.
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6:31 PM
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1/23/202
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19 D
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12
Transcribed Image Text:0 <I<2 =22<z <4I=4 4 <I<6 I= 6 6 <I< 8 I= 8 8 <I<9 f' (z)| Unknown f" (z) Negative Negative Negative DNE Positive Positive DNE Negative Unknown -1 Negative Unknown The function f is continuous on the interval (0,9) and is twice differentiable except at z = 6, where the derivatives do not exist (DNE). Information about the first and second derivatives of f for some values of I in the interval (0, 9) is given in the table above. Which of the following statements could be false? A The function f has a relative maximum at z = 2. B The graph of f has a point of inflection at z = 4. The function f has a relative minimum at z = 6. The graph of f has a point of inflection at z= 8. <> 6:31 PM P Type here to search 33°F 1/23/202 hp 12 3 (4 IO f5 CO 16 (D 17 CD 19 D fno home end 12
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