Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 18E
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Question
![Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.)
f(x) = -x² + 7x, [0, 7]
✔Yes, Rolle's Theorem can be applied.
No, because f is not continuous on the closed interval [a, b].
O No, because fis not differentiable in the open interval (a, b).
O No, because f(a) + f(b).
If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) = 0. (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.)
C =](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fc8a57943-65a4-4179-bc90-4de17f531e4f%2F7e554b30-0bad-4853-a9d9-489350b4ced8%2F1v4zv4_processed.png&w=3840&q=75)
Transcribed Image Text:Determine whether Rolle's Theorem can be applied to f on the closed interval [a, b]. (Select all that apply.)
f(x) = -x² + 7x, [0, 7]
✔Yes, Rolle's Theorem can be applied.
No, because f is not continuous on the closed interval [a, b].
O No, because fis not differentiable in the open interval (a, b).
O No, because f(a) + f(b).
If Rolle's Theorem can be applied, find all values of c in the open interval (a, b) such that f'(c) = 0. (Enter your answers as a comma-separated list. If Rolle's Theorem cannot be applied, enter NA.)
C =
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