If a function f(x) is continuous on the interval [a..b] and sign of f(a) = sign of f(b), then: There is a value c E [a.b] such that: f(c) = 0 I.e., there is a root c in the interval [a.b] true O false
If a function f(x) is continuous on the interval [a..b] and sign of f(a) = sign of f(b), then: There is a value c E [a.b] such that: f(c) = 0 I.e., there is a root c in the interval [a.b] true O false
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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![If a function f(x) is continuous on
the interval [a..b] and sign of f(a) =
sign of f(b), then: There is a value c
E [a.b] such that: f(c) = 0 1.e., there
is a root c in the interval [a..b]
true
false](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9cb88f66-e4b6-449d-8d34-b936d8ac2584%2Fcc4a4db1-c998-4fe7-b624-ea26da094864%2Fj4e1ht9_processed.jpeg&w=3840&q=75)
Transcribed Image Text:If a function f(x) is continuous on
the interval [a..b] and sign of f(a) =
sign of f(b), then: There is a value c
E [a.b] such that: f(c) = 0 1.e., there
is a root c in the interval [a..b]
true
false
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