3:06 < Вack If f is a continuous function on [a, b], then A) there must be local extreme values, but there may or may not be an absolute maximum or absolute minimum value for the function. B) there must be numbers m and M such that m < f(x) < M, on [a, b]. C) any absolute max or min would be at either the endpoints of the interval, or at places in the domain where f'(x) = 0. D) there exist a number c E (a, b) such that f'(c) = 0. E) none of the above is correct. un ous function on (a, b), then t st be local extreme values but there may or may not imum or absolute minimum value for the function must be numbers m and M such that ms (x)SM, on comedinle max or min would be at either the endpoints of th at places in the domain wherel() = 0. number ee (a b) such that /'(e)- 0 en Ja, e above is correct. YARA today at 1:41 PM
3:06 < Вack If f is a continuous function on [a, b], then A) there must be local extreme values, but there may or may not be an absolute maximum or absolute minimum value for the function. B) there must be numbers m and M such that m < f(x) < M, on [a, b]. C) any absolute max or min would be at either the endpoints of the interval, or at places in the domain where f'(x) = 0. D) there exist a number c E (a, b) such that f'(c) = 0. E) none of the above is correct. un ous function on (a, b), then t st be local extreme values but there may or may not imum or absolute minimum value for the function must be numbers m and M such that ms (x)SM, on comedinle max or min would be at either the endpoints of th at places in the domain wherel() = 0. number ee (a b) such that /'(e)- 0 en Ja, e above is correct. YARA today at 1:41 PM
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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![3:06
< Вack
If f is a continuous function on [a, b], then
A) there must be local extreme values, but there may or may not be an
absolute maximum or absolute minimum value for the function.
B) there must be numbers m and M such that m < f(x) < M, on [a, b].
C) any absolute max or min would be at either the endpoints of the
interval, or at places in the domain where f'(x) = 0.
D) there exist a number c E (a, b) such that f'(c) = 0.
E) none of the above is correct.
un ous function on (a, b), then
t st be local extreme values but there may or may not
imum or absolute minimum value for the function
must be numbers m and M such that ms (x)SM, on
comedinle max or min would be at either the endpoints of th
at places in the domain wherel() = 0.
number ee (a b) such that /'(e)- 0
en Ja, e
above is correct.
YARA
today at 1:41 PM](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fac7424c9-5c77-406b-b4b4-1bb1d45a4c08%2F47d2f7f0-9e6c-4904-b254-5505d7b5e1fe%2Fhtcjgrv_processed.png&w=3840&q=75)
Transcribed Image Text:3:06
< Вack
If f is a continuous function on [a, b], then
A) there must be local extreme values, but there may or may not be an
absolute maximum or absolute minimum value for the function.
B) there must be numbers m and M such that m < f(x) < M, on [a, b].
C) any absolute max or min would be at either the endpoints of the
interval, or at places in the domain where f'(x) = 0.
D) there exist a number c E (a, b) such that f'(c) = 0.
E) none of the above is correct.
un ous function on (a, b), then
t st be local extreme values but there may or may not
imum or absolute minimum value for the function
must be numbers m and M such that ms (x)SM, on
comedinle max or min would be at either the endpoints of th
at places in the domain wherel() = 0.
number ee (a b) such that /'(e)- 0
en Ja, e
above is correct.
YARA
today at 1:41 PM
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