a. ay ty=f"(x) -1 0 1 -2. 3 HINE f"(x) is a linear function. For each of the graphs above, answer th i. On which intervals is the graph of f the graph concave down? i. List the x-coordinates of all the points . Make a rough sketch of a possible gra

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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Question
8
Each of the following graphs represents the second derivative, f"(x), of a
function f(x):
a.
ay
b.
Y
ty=f"(x)
y=f"(x)
Nowy
0
2. 3
3
f"(x) is a linear function.
f"(x) is a quadratic function.
For each of the graphs above, answer the following questions:
i. On which intervals is the graph of f(x) concave up? On which intervals is
the graph concave down?
ii. List the x-coordinates of all the points of inflection.
iii. Make a rough sketch of a possible graph of f(x), assuming that f(0) = 2.
Transcribed Image Text:8 Each of the following graphs represents the second derivative, f"(x), of a function f(x): a. ay b. Y ty=f"(x) y=f"(x) Nowy 0 2. 3 3 f"(x) is a linear function. f"(x) is a quadratic function. For each of the graphs above, answer the following questions: i. On which intervals is the graph of f(x) concave up? On which intervals is the graph concave down? ii. List the x-coordinates of all the points of inflection. iii. Make a rough sketch of a possible graph of f(x), assuming that f(0) = 2.
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