Which of the following statements are always true: (1) Any continuous functions have global maxima and minima on every closed, bounded interval. (2) A critical point must be a local maxima or a local minima point. (3) A function defined on all points of a closed interval always has a global maximum and a global minimum. O (1) (2) (3) (1) and (2) O (1) and (3) O (2) and (3) all of them O None of them
Which of the following statements are always true: (1) Any continuous functions have global maxima and minima on every closed, bounded interval. (2) A critical point must be a local maxima or a local minima point. (3) A function defined on all points of a closed interval always has a global maximum and a global minimum. O (1) (2) (3) (1) and (2) O (1) and (3) O (2) and (3) all of them O None of them
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 98E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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![Which of the following statements are always true:
(1) Any continuous functions have global maxima and minima on every
closed, bounded interval.
(2) A critical point must be a local maxima or a local minima point.
(3) A function defined on all points of a closed interval always has a global
maximum and a global minimum.
(1)
(2)
(3)
(1) and (2)
O (1) and (3)
O (2) and (3)
all of them
O None of them](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ff1544230-789f-46c0-8841-9a5ad6b0988e%2Fed0a4ab8-c5cf-4fd8-9d63-2c5b5ff3b83e%2Fxkdjptf_processed.png&w=3840&q=75)
Transcribed Image Text:Which of the following statements are always true:
(1) Any continuous functions have global maxima and minima on every
closed, bounded interval.
(2) A critical point must be a local maxima or a local minima point.
(3) A function defined on all points of a closed interval always has a global
maximum and a global minimum.
(1)
(2)
(3)
(1) and (2)
O (1) and (3)
O (2) and (3)
all of them
O None of them
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