For questions 8, 9, and 10, answer True (T) or False (F). 8. If c is a critical number of f(x), then f '(c) = 0. 9. If f(c) exists and f '(c) = 0, then c is a critical number of f(x). 10. The absolute extrema of a continuous function on a closed interval always exist.

Intermediate Algebra
10th Edition
ISBN:9781285195728
Author:Jerome E. Kaufmann, Karen L. Schwitters
Publisher:Jerome E. Kaufmann, Karen L. Schwitters
Chapter8: Conic Sections
Section8.2: More Parabolas And Some Circles
Problem 63.1PS
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Please provide a reason for the answer to #10
For questions 8, 9, and 10, answer True (T) or False (F).
8. If c is a critical number of f(x), then f '(c) = 0.
9. If f(c) exists and f '(c) = 0, then c is a critical number of f(x).
10. The absolute extrema of a continuous function on a closed interval always exist.
Transcribed Image Text:For questions 8, 9, and 10, answer True (T) or False (F). 8. If c is a critical number of f(x), then f '(c) = 0. 9. If f(c) exists and f '(c) = 0, then c is a critical number of f(x). 10. The absolute extrema of a continuous function on a closed interval always exist.
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