P. 38 Let of be continuous in [a, b] such that of (a) >0 and f (b)<0. Its true that: (a) if f is differentiable in (a,b), there exists at least one (b) f [(a,b)] is not necessarily an interval (c) no = b is the absolute minimum point of f (d) f is strictly decreasing in [a,b] (e) & has a strictly positive absolute maximum point no € (a,b) such that f'(x) = 0 о

College Algebra (MindTap Course List)
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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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P. 38
Let of be continuous in [a, b] such that of (a) >0 and f (b)<0. Its true that:
(a) if f is differentiable in (a,b), there exists at least one
(b) f [(a,b)] is not necessarily an interval
(c) no = b is the absolute minimum point of f
(d) f is strictly decreasing in [a,b]
(e) & has a strictly positive absolute maximum
point no € (a,b) such that f'(x) = 0
о
Transcribed Image Text:P. 38 Let of be continuous in [a, b] such that of (a) >0 and f (b)<0. Its true that: (a) if f is differentiable in (a,b), there exists at least one (b) f [(a,b)] is not necessarily an interval (c) no = b is the absolute minimum point of f (d) f is strictly decreasing in [a,b] (e) & has a strictly positive absolute maximum point no € (a,b) such that f'(x) = 0 о
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