If we apply Rolle's Theorem to the function f(x) = 2x² – 8x – 3 on the interval [0,4], how many values of c exist such that f'(c) = 0? What is the value of c? If we try to apply Rolle's Thorem to the function f(x) = 2x² - 8x – 3 on the interval [-3, 11], which of the following conditions is not met? Of(a) f(b) O continuty on [-3, 11] differentiability on [-3, 11]

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 1CR
Question
If we apply Rolle's Theorem to the function f(x) = 2x² – 8x – 3 on the interval [0,4], how many values
of c exist such that f'(c) = 0?
What is the value of c?
If we try to apply Rolle's Thorem to the function f(x) = 2x² - 8x – 3 on the interval [-3, 11], which of
the following conditions is not met?
Of(a)
f(b)
O continuty on [-3, 11]
differentiability on [-3, 11]
Transcribed Image Text:If we apply Rolle's Theorem to the function f(x) = 2x² – 8x – 3 on the interval [0,4], how many values of c exist such that f'(c) = 0? What is the value of c? If we try to apply Rolle's Thorem to the function f(x) = 2x² - 8x – 3 on the interval [-3, 11], which of the following conditions is not met? Of(a) f(b) O continuty on [-3, 11] differentiability on [-3, 11]
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