Concept explainers
(a)
To find:The transformation that result in another even function.
(a)
Answer to Problem 43E
The transformation that result in another even function is stated below.
Explanation of Solution
The transformation that result in another even function is only an even parent function.
Translation such as reflection over the x or y axis, vertically stretching or widening the graph, horizontally expanding or contracting will result in an even function.
(b)
To find: The transformation that result in no longer even function.
(b)
Answer to Problem 43E
The transformation that result in no longer even function is stated below.
Explanation of Solution
Moving the graph horizontally will prevent it from being even because it makes it symmetric about the y axis and if it is moved horizontally it will lose the symmetry.
Therefore, the function can be made no longer even by moving the graph horizontally.
Chapter 3 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
Precalculus (10th Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
University Calculus: Early Transcendentals (4th Edition)
Calculus: Early Transcendentals (2nd Edition)
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