a. If f(x) has a minimum at x=a, then there exists an ɛ, such that f(x) > f(a) for every x in (a- ɛ, a+ e). The mean value theorem applies as long as the function is continuous in an interval la, bl. b.

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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Please say whether each one is true or false.

If f(x) has a minimum at x=a, then there exists an ɛ, such that f(x) > f(a) for every
а.
x in (a- 8, a+ e).
b.
The mean value theorem applies as long as the function is continuous in an
interval [a, b].
Transcribed Image Text:If f(x) has a minimum at x=a, then there exists an ɛ, such that f(x) > f(a) for every а. x in (a- 8, a+ e). b. The mean value theorem applies as long as the function is continuous in an interval [a, b].
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