Determine whether Rolle's Theorem applies to the function G(x) = on the interval -2, 2]. If it applies, find all possible values of c as in the conclusion of the x² + 16 theorem. If the theorem does not apply, state the reason. Answer E Keypa Keyboard Shortc O No, Rolle's Theorem does not apply because G(x) is not continuous on [–2, 2]. O No, Rolle's Theorem does not apply because G(x) is not differentiable on (- 2, 2). O Yes, Rolle's Theorem applies and c = 0. 1 O Yes, Rolle's Theorem applies and c = 4

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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Determine whether Rolle's Theorem applies to the function G(x)
5
on the interval [-2, 2]. If it applies, find all possible values of c as in the conclusion of the
x2 + 16
theorem. If the theorem does not apply, state the reason.
Answer
E Keypad
Keyboard Shortcut
O No, Rolle's Theorem does not apply because G(x) is not continuous on [-2, 2].
O No, Rolle's Theorem does not apply because G(x) is not differentiable on (-2, 2).
O Yes, Rolle's Theorem applies and c = 0.
1
O Yes, Rolle's Theorem applies and c =
4
Transcribed Image Text:Determine whether Rolle's Theorem applies to the function G(x) 5 on the interval [-2, 2]. If it applies, find all possible values of c as in the conclusion of the x2 + 16 theorem. If the theorem does not apply, state the reason. Answer E Keypad Keyboard Shortcut O No, Rolle's Theorem does not apply because G(x) is not continuous on [-2, 2]. O No, Rolle's Theorem does not apply because G(x) is not differentiable on (-2, 2). O Yes, Rolle's Theorem applies and c = 0. 1 O Yes, Rolle's Theorem applies and c = 4
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