Explanation Given information : y = e | x | Concept Involved: Transformations of functions: By applying certain transformations to the graph of a given function we can obtain the graphs of related functions. This will give us the ability to sketch the graphs of many functions quickly by hand. Vertical and Horizontal Shifts: Suppose c > 0 . To obtain the graph of y = f ( x ) + c , shift the graph of y = f ( x ) a distance c units upward y = f ( x ) − c , shift the graph of y = f ( x ) a distance c units downward y = f ( x − c ) , shift the graph of y = f ( x ) distance c units to the right y = f ( x + c ) , shift the graph of y = f ( x ) distance c units to the left Vertical and Horizontal Stretching and Reflecting: Suppose c > 1

15th Edition

ISBN: 9781133109631

Author: Stewart, JAMES, Day, Troy

Publisher: Cengage Learning,

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Maximization

Have you ever seen a bridge in the shape of a parabola? Where is its maximum on the bridge? The maximum of that bridge is the highest point on that bridge. The process of finding the maximum of the bridge here is called the maximization.

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Chapter 1.4, Problem 14E

To determine

Tograph : the given function and describe the transformation.

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Chapter 1.4, Problem 13E

Chapter 1.4, Problem 15E

Chapter 1 Solutions

Biocalculus

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