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Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

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BuyFindarrow_forward

Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

In Problems 29 and 30, use the graph shown in the figure and identify points from A through I that satisfy the given conditions.

(a) f ' ( x ) > 0  and  f " ( x ) > 0

(b) f ' ( x ) < 0  and  f " ( x ) < 0

(c) f ' ( x ) = 0  and  f " ( x ) > 0

(d) f ' ( x ) > 0  and  f " ( x ) = 0

(e) f ' ( x ) = 0  and  f " ( x ) = 0

(a)

To determine

The point that satisfies f(x)>0 and f(x)>0 in the graph of the function f(x).

Mathematical Applications for the Management, Life, and Social Sciences, Chapter 10.2, Problem 27E , additional homework tip  1

Explanation

Given Information:

The provided graph of the function f(x) is

Explanation:

Consider the provided graph of the function f(x),

Since, the graph is of the function f(x).

Recall that if the function is concave up, then f(x)>0 and if it is concave down then f(x)<0.

And, is the point of inflection, where the concavity changes.

Recall that if the function is increasing, then f(x)>0 and if it is decreasing then f(x)

(b)

To determine

The point that satisfies f(x)<0 and f(x)<0 in the graph of the function f(x).

Mathematical Applications for the Management, Life, and Social Sciences, Chapter 10.2, Problem 27E , additional homework tip  2

(c)

To determine

The point that satisfies f(x)=0 and f(x)>0 in the graph of the function f(x).

Mathematical Applications for the Management, Life, and Social Sciences, Chapter 10.2, Problem 27E , additional homework tip  3

(d)

To determine

The point that satisfies f(x)>0 and f(x)=0 in the graph of the function f(x).

Mathematical Applications for the Management, Life, and Social Sciences, Chapter 10.2, Problem 27E , additional homework tip  4

(e)

To determine

The point that satisfies f(x)=0 and f(x)=0 in the graph of the function f(x).

Mathematical Applications for the Management, Life, and Social Sciences, Chapter 10.2, Problem 27E , additional homework tip  5

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Chapter 10 Solutions

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