Determine whether the Mean Value Theorem applies to the function h(x) = - x² + 3x + 5 on the interval [-2, 3]. If it applies, find all possible values of c as in the conclusion of the theorem. If the theorem does not apply, state the reason. Answer E Keypa Keyboard Shorto 1 O Yes, the Mean Value Theorem applies and c = 2 O No, the Mean Value Theorem does not apply because h(x) is not differentiable on (– 2, 3). O No, the Mean Value Theorem does not apply because h(-2) # h(3). 3 O Yes, the Mean Value Theorem applies and c = 2

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.1: Inverse Functions
Problem 17E
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Determine whether the Mean Value Theorem applies to the function h(x)
- x2 + 3x + 5 on the interval [-2, 3]. If it applies, find all possible values of c as in the
conclusion of the theorem. If the theorem does not apply, state the reason.
Answer
E Keypa
Keyboard Shorto
1
O Yes, the Mean Value Theorem applies andc =
2
O No, the Mean Value Theorem does not apply because h(x) is not differentiable on (- 2, 3).
O No, the Mean Value Theorem does not apply because h(-2) + h(3).
3
O Yes, the Mean Value Theorem applies and c =
Transcribed Image Text:Determine whether the Mean Value Theorem applies to the function h(x) - x2 + 3x + 5 on the interval [-2, 3]. If it applies, find all possible values of c as in the conclusion of the theorem. If the theorem does not apply, state the reason. Answer E Keypa Keyboard Shorto 1 O Yes, the Mean Value Theorem applies andc = 2 O No, the Mean Value Theorem does not apply because h(x) is not differentiable on (- 2, 3). O No, the Mean Value Theorem does not apply because h(-2) + h(3). 3 O Yes, the Mean Value Theorem applies and c =
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