Considering the interval [−2, 4], does the Mean Value Theorem for integrals hold for f (x) whose graph is shown in the figure? The Mean Value Theorem does not hold because ƒ (x) is discontinuous at x = 2 -1 O The Mean Value Theorem holds because ƒ (x) is continuous on [-2, 4] O The Mean Value Theorem holds because ƒ (x) is continuous at î = 2 and x = 4 O The Mean Value Theorem does not hold because f (x) is not differentiable on [−2, 4]

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter4: Polynomial And Rational Functions
Section4.5: Rational Functions
Problem 54E
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Considering the interval [−2, 4], does the Mean Value Theorem
for integrals hold for f (x) whose graph is shown in the figure?
3
-2
0
-2
-3
O The Mean Value Theorem does not hold because f (x) is
discontinuous at x = 2
The Mean Value Theorem holds because f (x) is continuous on
[-2, 4]
O The Mean Value Theorem holds because f (x) is continuous at x = 2
and x = 4
The Mean Value Theorem does not hold because f (x) is not
differentiable on [−2, 4]
Transcribed Image Text:Considering the interval [−2, 4], does the Mean Value Theorem for integrals hold for f (x) whose graph is shown in the figure? 3 -2 0 -2 -3 O The Mean Value Theorem does not hold because f (x) is discontinuous at x = 2 The Mean Value Theorem holds because f (x) is continuous on [-2, 4] O The Mean Value Theorem holds because f (x) is continuous at x = 2 and x = 4 The Mean Value Theorem does not hold because f (x) is not differentiable on [−2, 4]
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