P.33 It is false that, if the function of is continuous in [a,b], differentiable in (a,b) and such that f(a). f (b) <0: then (a) there exists to € (a,b) such that the tangent line to the graph of f at (20, f(x)) is horizontal (b) the image off is a closed interval (c) there exists x E (a,b) such that f(x) = 0 (d) there exists no € (a,b) such that f'(no) (b-a) = f(b) - f(a) (e) f has absolute maximum and minimum points
P.33 It is false that, if the function of is continuous in [a,b], differentiable in (a,b) and such that f(a). f (b) <0: then (a) there exists to € (a,b) such that the tangent line to the graph of f at (20, f(x)) is horizontal (b) the image off is a closed interval (c) there exists x E (a,b) such that f(x) = 0 (d) there exists no € (a,b) such that f'(no) (b-a) = f(b) - f(a) (e) f has absolute maximum and minimum points
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...
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![P.33
It is false that, if the function of is continuous in [a,b], differentiable in (a,b) and such that f(a). f (b) <0: then
(a) there exists to € (a,b) such that the tangent line to the graph of f at (20, f(x)) is horizontal
(b) the
image
off is a closed interval
(c) there exists x E (a,b) such that f(x) = 0
(d) there exists no € (a,b) such that f'(no) (b-a) = f(b) - f(a)
(e) f has absolute maximum and minimum points](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6099d21a-e15a-47f8-adbb-0c871c33581f%2F9ffc911e-43fe-4f18-beff-d74e5de5d6ad%2Fy41rt2v_processed.jpeg&w=3840&q=75)
Transcribed Image Text:P.33
It is false that, if the function of is continuous in [a,b], differentiable in (a,b) and such that f(a). f (b) <0: then
(a) there exists to € (a,b) such that the tangent line to the graph of f at (20, f(x)) is horizontal
(b) the
image
off is a closed interval
(c) there exists x E (a,b) such that f(x) = 0
(d) there exists no € (a,b) such that f'(no) (b-a) = f(b) - f(a)
(e) f has absolute maximum and minimum points
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