Explain why Rolle's Theorem does not apply to the function even though there exist a and b such that f(a) = f(b). (Select all that apply.) f(x) = cot , [л, 5л] O There are points on the interval (a, b) where f is not differentiable. O None of these. O f(a) does not equal f(b) for all possible values of a and b in the interval [A, 57]. O There are points on the interval [a, b] where f is not continuous. O f '(a) does not equal f '(b) for any values in the interval [T, 57).

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...
Question
Explain why Rolle's Theorem does not apply to the function even though there exist a and b such that f(a) = f(b). (Select all that apply.)
f(x) = cot ,
[л, 5л]
O There are points on the interval (a, b) where f is not differentiable.
O None of these.
O f(a) does not equal f(b) for all possible values of a and b in the interval [A, 57].
O There are points on the interval [a, b] where f is not continuous.
O f '(a) does not equal f '(b) for any values in the interval [T, 57).
Transcribed Image Text:Explain why Rolle's Theorem does not apply to the function even though there exist a and b such that f(a) = f(b). (Select all that apply.) f(x) = cot , [л, 5л] O There are points on the interval (a, b) where f is not differentiable. O None of these. O f(a) does not equal f(b) for all possible values of a and b in the interval [A, 57]. O There are points on the interval [a, b] where f is not continuous. O f '(a) does not equal f '(b) for any values in the interval [T, 57).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra
College Algebra
Algebra
ISBN:
9781938168383
Author:
Jay Abramson
Publisher:
OpenStax
College Algebra
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell