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Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621

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BuyFindarrow_forward

Calculus (MindTap Course List)

8th Edition
James Stewart
ISBN: 9781285740621
Textbook Problem

1-2 Use the given graph of f to find the following.

(a) The open intervals on which f is increasing.

(b) The open intervals on which f is decreasing.

(c) The open intervals on which f is concave upward.

(d) The open intervals on which f is concave downward.

(e) The coordinates of the points of inflection.

Chapter 3.3, Problem 2E, 1-2 Use the given graph of f to find the following. a The open intervals on which f is increasing. b

To determine

(a)

To find:

The open interval on which f  is increasing.

Explanation

1) Concept:

From the graph, find the interval in which f(x) is increasing.

2) Calculation:

From the graph, the values of f(x) are increasing when x is increasing from 0 to 1 and 3to 7.

Therefore f(x)  is increasing in the intervals (0, 1

To determine

(b)

To find:

The open interval on which f  is decreasing.

To determine

(c)

To find:

The open intervals on which f is concave upward.

To determine

(d)

To find:

The open intervals on which f is concave downward.

To determine

(e)

To find:

Coordinates of points of inflection.

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