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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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For the function f given above, determine whether the
following conditions are true. Input T if the condition is ture,
otherwise input F.
(a) f'(x) < 0 if 0 < x < 2; T
(b) f'(x) > 0 if x > 2; F
(c) f"(x) < 0 if 0 < x < 1; T
(d) f"(x) > 0 if 1 < x < 4.
(e) f"(x) < 0 if x > 4;
(f) Two inflection points of f(x) are, the smaller one is x =
and the other is x =
Transcribed Image Text:For the function f given above, determine whether the following conditions are true. Input T if the condition is ture, otherwise input F. (a) f'(x) < 0 if 0 < x < 2; T (b) f'(x) > 0 if x > 2; F (c) f"(x) < 0 if 0 < x < 1; T (d) f"(x) > 0 if 1 < x < 4. (e) f"(x) < 0 if x > 4; (f) Two inflection points of f(x) are, the smaller one is x = and the other is x =
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