Determine if the requirements for Rolle's theorem are met by the function f(x) = 5x + +3 guaranteed by the theorem. O When evaluated, a.) Ax) is continuous and differentiable on any interval not including 0; therefore, it is continuous on d.) The values guaranteed by Rolle's theorem are C--1 and c-1. where x-0, so fix) is differentiable on Theorem are not met. (3) = = 26 and f(5)-26. Therefore, f(a)-f(b) and the conditions of Rolle's theorem are met. (1₁5)₁ b.) fix) is continuous on any interval not including O; therefore, it is continuous on [₁5] Also, f(x) is differentiable everywhere except ·√(7)= |=2 and f(5)-26. Therefore, f(a) f(b) and the conditions of Rolle's fix) is continuous on on the interval - [ 3.5] = When evaluated, c.) [135] fix) is continuous on any interval not including O; therefore, it is continuous on the conditions of Rolle's theorem have not been met. 5 on [3.5] and If so, find the values of cin The value guaranteed by Rolle's theorem is c-1. and differentiable on (3)= = 26 and f(5)-26, Therefore, f(a)-f(b) and the conditions of Rolle's theorem are met. and fix) is differentiable everywhere except where x-0, so fix) is differentiable on Also, fix) is not differentiable on n (7.5).. Therefore, When evaluated,
Determine if the requirements for Rolle's theorem are met by the function f(x) = 5x + +3 guaranteed by the theorem. O When evaluated, a.) Ax) is continuous and differentiable on any interval not including 0; therefore, it is continuous on d.) The values guaranteed by Rolle's theorem are C--1 and c-1. where x-0, so fix) is differentiable on Theorem are not met. (3) = = 26 and f(5)-26. Therefore, f(a)-f(b) and the conditions of Rolle's theorem are met. (1₁5)₁ b.) fix) is continuous on any interval not including O; therefore, it is continuous on [₁5] Also, f(x) is differentiable everywhere except ·√(7)= |=2 and f(5)-26. Therefore, f(a) f(b) and the conditions of Rolle's fix) is continuous on on the interval - [ 3.5] = When evaluated, c.) [135] fix) is continuous on any interval not including O; therefore, it is continuous on the conditions of Rolle's theorem have not been met. 5 on [3.5] and If so, find the values of cin The value guaranteed by Rolle's theorem is c-1. and differentiable on (3)= = 26 and f(5)-26, Therefore, f(a)-f(b) and the conditions of Rolle's theorem are met. and fix) is differentiable everywhere except where x-0, so fix) is differentiable on Also, fix) is not differentiable on n (7.5).. Therefore, When evaluated,
Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![Determine if the requirements for Rolle's theorem are met by the function f(x) = 5x + +3
guaranteed by the theorem.
O
When evaluated,
a.)
Ax) is continuous and differentiable on any interval not including 0; therefore, it is continuous on
d.)
The values guaranteed by Rolle's theorem are C--1 and c-1.
where x-0, so fix) is differentiable on
Theorem are not met.
(3) =
= 26 and f(5)-26. Therefore, f(a)-f(b) and the conditions of Rolle's theorem are met.
(1₁5)₁
b.)
fix) is continuous on any interval not including O; therefore, it is continuous on [₁5] Also, f(x) is differentiable everywhere except
·√(7)=
|=2 and f(5)-26. Therefore, f(a) f(b) and the conditions of Rolle's
fix) is continuous on
on the interval
- [ 3.5] =
When evaluated,
c.)
[135]
fix) is continuous on any interval not including O; therefore, it is continuous on
the conditions of Rolle's theorem have not been met.
5 on [3.5] and
If so, find the values of cin
The value guaranteed by Rolle's theorem is c-1.
and differentiable on
(3)=
= 26 and f(5)-26, Therefore, f(a)-f(b) and the conditions of Rolle's theorem are met.
and fix) is differentiable everywhere except where x-0, so fix) is differentiable on
Also, fix) is not differentiable on
n (7.5).. Therefore,
When evaluated,](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd1f3d831-3db7-4484-bdc6-cfac27db4f37%2Fa8aafb18-d778-435f-ba45-c60d199344bd%2Fdhl8wge_processed.png&w=3840&q=75)
Transcribed Image Text:Determine if the requirements for Rolle's theorem are met by the function f(x) = 5x + +3
guaranteed by the theorem.
O
When evaluated,
a.)
Ax) is continuous and differentiable on any interval not including 0; therefore, it is continuous on
d.)
The values guaranteed by Rolle's theorem are C--1 and c-1.
where x-0, so fix) is differentiable on
Theorem are not met.
(3) =
= 26 and f(5)-26. Therefore, f(a)-f(b) and the conditions of Rolle's theorem are met.
(1₁5)₁
b.)
fix) is continuous on any interval not including O; therefore, it is continuous on [₁5] Also, f(x) is differentiable everywhere except
·√(7)=
|=2 and f(5)-26. Therefore, f(a) f(b) and the conditions of Rolle's
fix) is continuous on
on the interval
- [ 3.5] =
When evaluated,
c.)
[135]
fix) is continuous on any interval not including O; therefore, it is continuous on
the conditions of Rolle's theorem have not been met.
5 on [3.5] and
If so, find the values of cin
The value guaranteed by Rolle's theorem is c-1.
and differentiable on
(3)=
= 26 and f(5)-26, Therefore, f(a)-f(b) and the conditions of Rolle's theorem are met.
and fix) is differentiable everywhere except where x-0, so fix) is differentiable on
Also, fix) is not differentiable on
n (7.5).. Therefore,
When evaluated,
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