But the Mean Value Theorem only applies if the function is continuous AND differentiable.  Not differentiable at x=0 and x=2.  So, I think it will work only in interval [2,4].

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter3: Functions
Section3.3: More On Functions; Piecewise-defined Functions
Problem 99E: Determine if the statemment is true or false. If the statement is false, then correct it and make it...
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But the Mean Value Theorem only applies if the function is continuous AND differentiable.  Not differentiable at x=0 and x=2.  So, I think it will work only in interval [2,4].

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