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Suppose f" () > 0 on some interval (a, b). Check all of the following statements that must be true. ☐ f' is increasing on the interval (a, b). ☐ f is increasing on the interval (a, b). ☐ f' is decreasing on the interval (a, b). ☐ f is concave downward on the interval (a, b). ☐ f is decreasing on the interval (a, b). ☐ f is concave upward on the interval (a, b).

Suppose f" () > 0 on some interval (a, b). Check all of the following statements that must be true. ☐ f' is increasing on the interval (a, b). ☐ f is increasing on the interval (a, b). ☐ f' is decreasing on the interval (a, b). ☐ f is concave downward on the interval (a, b). ☐ f is decreasing on the interval (a, b). ☐ f is concave upward on the interval (a, b).

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 7CR
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Suppose f" () > 0 on some interval (a, b). Check all of the following statements that must be true. ☐ f' is increasing on the interval (a, b). ☐ f is increasing on the interval (a, b). ☐ f' is decreasing on the interval (a, b). ☐ f is concave downward on the interval (a, b). ☐ f is decreasing on the interval (a, b). ☐ f is concave upward on the interval (a, b).
Transcribed Image Text:Suppose f" () > 0 on some interval (a, b). Check all of the following statements that must be true. ☐ f' is increasing on the interval (a, b). ☐ f is increasing on the interval (a, b). ☐ f' is decreasing on the interval (a, b). ☐ f is concave downward on the interval (a, b). ☐ f is decreasing on the interval (a, b). ☐ f is concave upward on the interval (a, b).
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