Can Rolle's Theorem can be applied to x³ - 4x² + 3x x-1 f(x) on the interval [0, 3]? 1. No because f(0) is not equal to f(3). 2. No because f(x) is not differentiable on the entire interval [0, 3]. 3. Yes because f is a rational function, so it s differentiable everywhere. 4. Yes because f(0) = f(3).

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
icon
Related questions
Question
100%
::;;(((
Can Rolle's Theorem can be applied to
x³ - 4x² + 3x
x-1
f(x)
=
on the interval [0, 3]?
1. No because f(0) is not equal to f(3).
2. No because f(x) is not differentiable on
the entire interval [0, 3].
3. Yes because f is a rational function, so it
is differentiable everywhere.
4. Yes because f(0) = f(3).
Transcribed Image Text:Can Rolle's Theorem can be applied to x³ - 4x² + 3x x-1 f(x) = on the interval [0, 3]? 1. No because f(0) is not equal to f(3). 2. No because f(x) is not differentiable on the entire interval [0, 3]. 3. Yes because f is a rational function, so it is differentiable everywhere. 4. Yes because f(0) = f(3).
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781285741550
Author:
James Stewart
Publisher:
Cengage Learning
Thomas' Calculus (14th Edition)
Thomas' Calculus (14th Edition)
Calculus
ISBN:
9780134438986
Author:
Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:
PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:
9780134763644
Author:
William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:
PEARSON
Calculus: Early Transcendentals
Calculus: Early Transcendentals
Calculus
ISBN:
9781319050740
Author:
Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:
W. H. Freeman
Precalculus
Precalculus
Calculus
ISBN:
9780135189405
Author:
Michael Sullivan
Publisher:
PEARSON
Calculus: Early Transcendental Functions
Calculus: Early Transcendental Functions
Calculus
ISBN:
9781337552516
Author:
Ron Larson, Bruce H. Edwards
Publisher:
Cengage Learning