3. A continuous function ƒ is defined on the closed interval -4≤x≤4. The graph of the function, shown in the figure to the right consists of a line and two curves. There is a value a, -4≤a<4, for which the Mean Value Theorem, applied to the interval [a,4] guarantees a value c, a ≤c<4 at which ƒ'(c)=3. What are possible values of a? I. -4 II. 0 III. 2 A. I only B. II only D. II and III only E. I, II and III C. III only -3 -2 7 12 10 8 6 4 2 Na -4 -6 -8 1 (2.6) 2 3 (4.12)
3. A continuous function ƒ is defined on the closed interval -4≤x≤4. The graph of the function, shown in the figure to the right consists of a line and two curves. There is a value a, -4≤a<4, for which the Mean Value Theorem, applied to the interval [a,4] guarantees a value c, a ≤c<4 at which ƒ'(c)=3. What are possible values of a? I. -4 II. 0 III. 2 A. I only B. II only D. II and III only E. I, II and III C. III only -3 -2 7 12 10 8 6 4 2 Na -4 -6 -8 1 (2.6) 2 3 (4.12)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
![3. A continuous function f is defined on the closed interval
-4≤x≤4. The graph of the function, shown in the
figure to the right consists of a line and two curves. There
is a value a, -4≤a<4, for which the Mean Value
Theorem, applied to the interval [a,4] guarantees a
value c, a ≤ c <4 at which f'(c)=3. What are possible
values of a?
I.
-4
II. 0
III. 2
A. I only
B.
II only
D. II and III only E. I, II and III
C. III only
co
(-4,-12)
-2
4
12
10
8
6
4
2
-2
-4
-6
-8
-10
-12
1
(2,6)
2
3
(4.12)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6bb29282-63cc-412a-a2dd-5fc661270035%2Fcc0efe81-f5c7-470e-ac57-20a8829edd28%2Fsjpndu_processed.png&w=3840&q=75)
Transcribed Image Text:3. A continuous function f is defined on the closed interval
-4≤x≤4. The graph of the function, shown in the
figure to the right consists of a line and two curves. There
is a value a, -4≤a<4, for which the Mean Value
Theorem, applied to the interval [a,4] guarantees a
value c, a ≤ c <4 at which f'(c)=3. What are possible
values of a?
I.
-4
II. 0
III. 2
A. I only
B.
II only
D. II and III only E. I, II and III
C. III only
co
(-4,-12)
-2
4
12
10
8
6
4
2
-2
-4
-6
-8
-10
-12
1
(2,6)
2
3
(4.12)
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