3. Verify that the function satisfies the hypotheses of the Mean Value Theorem on the given interval. Then find all the numbers c that satisfy the conclusion of the Mean Value Theorem. (a) f(x) = ²x [0, 1]

College Algebra
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ISBN:9781938168383
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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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3. Verify that the function satisfies the hypotheses of the Mean Value Theorem on the
given interval. Then find all the numbers c that satisfy the conclusion of the Mean
Value Theorem.
(a)
(b)
f(x) = ²x
f(x) = sin(x)
[0, 1]
[0, π]
Transcribed Image Text:3. Verify that the function satisfies the hypotheses of the Mean Value Theorem on the given interval. Then find all the numbers c that satisfy the conclusion of the Mean Value Theorem. (a) (b) f(x) = ²x f(x) = sin(x) [0, 1] [0, π]
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