Suppose f(x) is continuous on [-1,3] such that ƒ ( − 1) = 4 and ƒ (3) = 7. By the IVT, we can conclude that (в There exist a number c E (4,7) such that f(c) = 0. There exist a number c = (4,7) such that f(c) = 5. There exist a number c = (-1,3) such that f(c) = 5. There exist a number c = (-1,3) such that f(c) = 0.

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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Suppose f(x) is continuous on [-1,3] such that ƒ ( − 1) = 4 and ƒ (3) = 7.
By the IVT, we can conclude that
(в
There exist a number c E (4,7) such that f(c) = 0.
There exist a number c = (4,7) such that f(c) = 5.
There exist a number c = (-1,3) such that f(c)
= 5.
There exist a number c = (-1,3) such that f(c) =
0.
Transcribed Image Text:Suppose f(x) is continuous on [-1,3] such that ƒ ( − 1) = 4 and ƒ (3) = 7. By the IVT, we can conclude that (в There exist a number c E (4,7) such that f(c) = 0. There exist a number c = (4,7) such that f(c) = 5. There exist a number c = (-1,3) such that f(c) = 5. There exist a number c = (-1,3) such that f(c) = 0.
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