3. All three parts of this problem refer to the following graph: (n) Assume that the graph is a graph of the function f. On approximately what interval(s) is ƒ concave up? On approximately what interval(s) is ƒ concave down? Where does f have inflection point(s)? (b) Now assume that the graph is a graph of the function f'. This time, on what interval(s) is ƒ concave up, and on what interval(s) is f concave down? Where does ƒ have inflection point(s)? (Hint: Use the second row of the table above.) (c) Now assume that the graph is a graph of the function f". On what interval(s) is f concave up? On what interval(s) is ƒ concave down? Where does f have inflection point(s)? (Hint: Use the third row of the table above.)

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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3. All three parts of this problem refer to the following graph:
B
E
(a) Assume that the graph is a graph of the function f. On approximately what interval(s) is f
concave up? On approximately what interval(s) is f concave down? Where does f have inflection
point(s)?
(b) Now assume that the graph is a graph of the function f'. This time, on what interval(s) is f
concave up, and on what interval(s) is ƒ concave down? Where does f have inflection point(s)?
(Hint: Use the second row of the table above.)
(c) Now assume that the graph is a graph of the function f". On what interval(s) is f concave up?
On what interval(s) is ƒ concave down? Where does f have inflection point(s)? (Hint: Use the
third row of the table above.)
Transcribed Image Text:3. All three parts of this problem refer to the following graph: B E (a) Assume that the graph is a graph of the function f. On approximately what interval(s) is f concave up? On approximately what interval(s) is f concave down? Where does f have inflection point(s)? (b) Now assume that the graph is a graph of the function f'. This time, on what interval(s) is f concave up, and on what interval(s) is ƒ concave down? Where does f have inflection point(s)? (Hint: Use the second row of the table above.) (c) Now assume that the graph is a graph of the function f". On what interval(s) is f concave up? On what interval(s) is ƒ concave down? Where does f have inflection point(s)? (Hint: Use the third row of the table above.)
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