In Problem f”(x) and its graph are given. (a) Use the graph to determine (estimate) where the graph of f(x) is concave up, where it is concave down, and where it has points of inflection. (b) Verify that the given f(x) has f”(x) as its second derivative, and graph f(x) to check your conclusions in part (a).

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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In Problem f”(x) and its graph are given.

(a) Use the graph to determine (estimate) where the graph of f(x) is concave up, where it is concave down, and where it has points of inflection.

(b) Verify that the given f(x) has f”(x) as its second derivative, and graph f(x) to check your conclusions in part (a).

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