(a) Explanation Given information: The function f ( x ) = e x + ln | x − 4 | for 0 ≤ x ≤ 5 Calculation: (b) To determine To get: a graph that represents f better.

Biocalculus

15th Edition

ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as:

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Question

Chapter 2.3, Problem 40E

(a)

To determine

To graph: f(x)=ex+ln|x−4|for 0≤x≤5 .

(b)

To determine

To get: a graph that represents f better.

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Chapter 2.3, Problem 39E

Chapter 2.3, Problem 41E

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Biocalculus

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To graph: f ( x ) = e x + ln | x − 4 | for 0 ≤ x ≤ 5 .

Solution Summary: The author explains that since the given f is undefined for x = 4, it is better to redefine the function as follows.