For each graph of f in Exercises 37–40, explain why f satis- fies the hypotheses of Rolle's Theorem on the given interval [a, b). Then approximate any valuesce (a, b) that satisfy the conclusion of Rolle's Theorem. 37. [a, b] = [-3, 1] 38. [a, b] = [-3, 3] 3+ 1 -1+ -2+ 39. [a, b] = [0, 4] 40. [a, b] = [–1, 1) 3+ 4- 2- 3+ 1 2+ 3 -2 -3 -2 -1 1 2 3 -3+ -1t 2.

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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For each graph of f in Exercises 37–40, explain why f satis-
fies the hypotheses of Rolle's Theorem on the given interval
[a, b). Then approximate any valuesce (a, b) that satisfy the
conclusion of Rolle's Theorem.
37.
[a, b] = [-3, 1]
38.
[a, b] = [-3, 3]
3+
1
-1+
-2+
39.
[a, b] = [0, 4]
40.
[a, b] = [–1, 1)
3+
4-
2-
3+
1
2+
3
-2
-3 -2 -1
1
2
3
-3+
-1t
2.
Transcribed Image Text:For each graph of f in Exercises 37–40, explain why f satis- fies the hypotheses of Rolle's Theorem on the given interval [a, b). Then approximate any valuesce (a, b) that satisfy the conclusion of Rolle's Theorem. 37. [a, b] = [-3, 1] 38. [a, b] = [-3, 3] 3+ 1 -1+ -2+ 39. [a, b] = [0, 4] 40. [a, b] = [–1, 1) 3+ 4- 2- 3+ 1 2+ 3 -2 -3 -2 -1 1 2 3 -3+ -1t 2.
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