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The goal of this problem is to show that the function f(x) = VT- x %3D satisfies both of the conditions (the hypotheses) and the conclusion of the Mean Value Theorem for x in the interval [-7, 7]. Verification of Hypotheses: Fill in the blanks to show that the hypotheses of the Mean Value Theorem are satisfied: f(x) is Σ on [-7, 7] and is E on (-7,7). Note: The answer in each box should be one word. Verification of the Conclusion: If the hypotheses of the Mean Value Theorem are satisfied, then there is at least one ( , c) in the interval (-7, 7) for which f'(c) = f(7) – f(-7) 7 - (-7) Verify that the conclusion of the Mean Value Theorem holds by computing f(7) – f(-7) 7 - (-7) Σ Now find c in (-7,7) so that f'(c) equals the answer you just found. (For this problem there is only one correct value of c.) C = Σ

The goal of this problem is to show that the function f(x) = VT- x %3D satisfies both of the conditions (the hypotheses) and the conclusion of the Mean Value Theorem for x in the interval [-7, 7]. Verification of Hypotheses: Fill in the blanks to show that the hypotheses of the Mean Value Theorem are satisfied: f(x) is Σ on [-7, 7] and is E on (-7,7). Note: The answer in each box should be one word. Verification of the Conclusion: If the hypotheses of the Mean Value Theorem are satisfied, then there is at least one ( , c) in the interval (-7, 7) for which f'(c) = f(7) – f(-7) 7 - (-7) Verify that the conclusion of the Mean Value Theorem holds by computing f(7) – f(-7) 7 - (-7) Σ Now find c in (-7,7) so that f'(c) equals the answer you just found. (For this problem there is only one correct value of c.) C = Σ

College Algebra
College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.7: Combining Functions
Problem 5E: Let f and g be functions. (a) The function (f+g)(x) is defined for all values of x that are in the...
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The goal of this problem is to show that the function f(x) = V7 – x satisfies both of the conditions (the hypotheses) and the conclusion of the Mean Value Theorem for x in the interval -7, 7. Verification of Hypotheses: Fill in the blanks to show that the hypotheses of the Mean Value Theorem are satisfied: f(x) is 2 on -7, 7 and is Σ on (-7,7). Note: The answer in each box should be one word. Verification of the Conclusion: If the hypotheses of the Mean Value Theorem are satisfied, then there is at least one (, c) in the interval (-7, 7) for which f(7) – f(-7) f' (c) = 7 - (-7) Verify that the conclusion of the Mean Value Theorem holds by computing f(7) – f(-7) 7 - (-7) Σ Now find c in (-7,7) so that f' (c) equals the answer you just found. (For this problem there is only one correct value of c.) C = Σ
Transcribed Image Text:The goal of this problem is to show that the function f(x) = V7 – x satisfies both of the conditions (the hypotheses) and the conclusion of the Mean Value Theorem for x in the interval -7, 7. Verification of Hypotheses: Fill in the blanks to show that the hypotheses of the Mean Value Theorem are satisfied: f(x) is 2 on -7, 7 and is Σ on (-7,7). Note: The answer in each box should be one word. Verification of the Conclusion: If the hypotheses of the Mean Value Theorem are satisfied, then there is at least one (, c) in the interval (-7, 7) for which f(7) – f(-7) f' (c) = 7 - (-7) Verify that the conclusion of the Mean Value Theorem holds by computing f(7) – f(-7) 7 - (-7) Σ Now find c in (-7,7) so that f' (c) equals the answer you just found. (For this problem there is only one correct value of c.) C = Σ
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