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Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347

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Chapter
Section
BuyFindarrow_forward

Calculus (MindTap Course List)

11th Edition
Ron Larson + 1 other
ISBN: 9781337275347
Textbook Problem

HOW DO YOU SEE IT? Use the graph of f’ shown in the figure to answer the following.

images

(a) Approximate the slope of f at x = 4 . Explain.

(b) Is f ( 5 ) f ( 4 ) > 0 ?

Explain.

(c) Approximate the value of x where f is maximum Explain.

(d) Approximate any open intervals on which the graph of f is concave upward and any open intervals on which it is concave downward. Approximate the coordinates of any points of inflection.

(a)

To determine
The approximate slope of function f at x=4 from the graph as shown below.

Explanation

Given:

The graph of the function f,

Please Refer the figure in the given question.

Explanation:

Since, f(x) is the slope of the function f(x)

(b)

To determine
Whether f(5)f(4)>0 from the graph as shown below.

(c)

To determine
The approximate value of x where f is maximum from the graph as shown below.

(d)

To determine
Any open intervals on which the graph of f is concave upward and any open intervals on which it is concave downward from the graph as shown below. Also, approximate the x-coordinates of any points of inflection.

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