1. Draw the graph of a function f(x) that is continuous on the domain [-3,9] and clearly satisfies all of the following. On your graph, label all points of inflection. (a) f(0) = 0 (b) f is decreasing and concave up for -3≤x≤0 (c) f is decreasing and concave down for 0

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
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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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1. Draw the graph of a function f(x) that is continuous on the domain [-3, 9] and clearly
satisfies all of the following. On your graph, label all points of inflection.
(a) ƒ(0) = 0
(b) f is decreasing and concave up for
-3 < x < 0
(c) f is decreasing and concave down for
0 < x < 3
(d) f is increasing and concave down for
3 < x < 6
(e) ƒ is increasing and concave up for
6 < x < 9.
Transcribed Image Text:1. Draw the graph of a function f(x) that is continuous on the domain [-3, 9] and clearly satisfies all of the following. On your graph, label all points of inflection. (a) ƒ(0) = 0 (b) f is decreasing and concave up for -3 < x < 0 (c) f is decreasing and concave down for 0 < x < 3 (d) f is increasing and concave down for 3 < x < 6 (e) ƒ is increasing and concave up for 6 < x < 9.
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