x -2 -1 0 1 2 g(x) -4 -1 4 11 20 The table above gives values of a function g at selected values of x. Which of the following statements, if true, would be individually sufficient to conclude that there exists a number c in the interval [-2, 2] such that g(c) =6? I. g is defined for all x in the interval [-2, 2] II. g is increasing on the interval [-2, 2] III. g is continuous on the interval [-2, 2].
x -2 -1 0 1 2 g(x) -4 -1 4 11 20 The table above gives values of a function g at selected values of x. Which of the following statements, if true, would be individually sufficient to conclude that there exists a number c in the interval [-2, 2] such that g(c) =6? I. g is defined for all x in the interval [-2, 2] II. g is increasing on the interval [-2, 2] III. g is continuous on the interval [-2, 2].
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.7: Combining Functions
Problem 5E
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Question
x | -2 | -1 | 0 | 1 | 2 |
g(x) | -4 | -1 | 4 | 11 | 20 |
The table above gives values of a function g at selected values of x. Which of the following statements, if true, would be individually sufficient to conclude that there exists a number c in the interval [-2, 2] such that g(c) =6?
I. g is defined for all x in the interval [-2, 2]
II. g is increasing on the interval [-2, 2]
III. g is continuous on the interval [-2, 2].
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