Use the graph off and f' to find the critical points and inflection points of f, the intervals on which f is increasing and decreasing, and the intervals of concavity. Then, graph f assuming f(0) 0. 12 I'(x) y=f"(x) Find the critical points. The critical points are x (Use a comma to separate answers as needed.) Find the inflection points. (Use a comma to separate answers as needed.) The inflection points occur at x Find the intervals on which f is increasing and decreasing. f is decreasing on|| (Type your answer in interval notation. Use a comma to separate answers as needed.) f is increasing on (Type your answer in interval notation. Use a comma to separate answers as needed.) Find the intervals of concavity. f is concave up on.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
ChapterA: Appendix
SectionA.2: Geometric Constructions
Problem 10P: A soda can has a volume of 25 cubic inches. Let x denote its radius and h its height, both in...
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Use the graph off and f' to find the critical points and inflection points of f, the intervals on which f is increasing and decreasing, and
the intervals of concavity. Then, graph f assuming f(0) 0.
12
I'(x)
y=f"(x)
Find the critical points.
The critical points are x
(Use a comma to separate answers as needed.)
Find the inflection points.
(Use a comma to separate answers as needed.)
The inflection points occur at x
Find the intervals on which f is increasing and decreasing.
f is decreasing on||
(Type your answer in interval notation. Use a comma to separate answers as needed.)
f is increasing on
(Type your answer in interval notation. Use a comma to separate answers as needed.)
Find the intervals of concavity.
f is concave up on.
Transcribed Image Text:Use the graph off and f' to find the critical points and inflection points of f, the intervals on which f is increasing and decreasing, and the intervals of concavity. Then, graph f assuming f(0) 0. 12 I'(x) y=f"(x) Find the critical points. The critical points are x (Use a comma to separate answers as needed.) Find the inflection points. (Use a comma to separate answers as needed.) The inflection points occur at x Find the intervals on which f is increasing and decreasing. f is decreasing on|| (Type your answer in interval notation. Use a comma to separate answers as needed.) f is increasing on (Type your answer in interval notation. Use a comma to separate answers as needed.) Find the intervals of concavity. f is concave up on.
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