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

College Algebra

1st Edition

ISBN:9781938168383

Author:Jay Abramson

Publisher:Jay Abramson

Chapter3: Functions

Section3.3: Rates Of Change And Behavior Of Graphs

Problem 2SE: If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local...

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Question

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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