(a)
To whether:The encoding relation has to be a function.
(a)
Answer to Problem 47E
No, the encoding relation need not to be a function.
Explanation of Solution
The encoding does not need to be a function, because each letter could have more then one number assigned to it.
(b)
To find: The reason the graph of encoding to pass the horizontal line test.
(b)
Answer to Problem 47E
The reason the graph of encoding to pass the horizontal line test is stated below.
Explanation of Solution
The encoding will pass the horizontal test because there can only be one letter that is represented by each letter or it would be impossible to decipher the code.
Therefore, the horizontal line test is important because there is no other way to decode the function.
(c)
To find: The function that would decode the message.
(c)
Answer to Problem 47E
The function that would decode the message is
Explanation of Solution
Consider the encoded message.
The decoded function is calculated as,
Therefore, the decoded message is
(d)
To find: The decoding of different encoded message.
(d)
Answer to Problem 47E
The function that would decode the message is
Explanation of Solution
The decoded message is,
Encode | Decode | |
The decoded message is tabulated in the above table.
Chapter 3 Solutions
Advanced Mathematical Concepts: Precalculus with Applications, Student Edition
Additional Math Textbook Solutions
University Calculus: Early Transcendentals (3rd Edition)
Thomas' Calculus: Early Transcendentals (14th Edition)
Single Variable Calculus: Early Transcendentals (2nd Edition) - Standalone book
Precalculus (10th Edition)
University Calculus: Early Transcendentals (4th Edition)
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