8Each of the following graphs represents the second derivative, f"(x), of afunction f(x):a.ayb.Yty=f"(x)y=f"(x)Nowy02. 33f"(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 isthe 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.

Answered: Image /qna-images/answer/7f2ea42f-ef38-4eac-9a50-0f15fd9da78d.jpg

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

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

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

Chapter2: Graphical And Tabular Analysis

Section2.1: Tables And Trends

Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...

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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.

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