Give an example of a function that is defined on the set of integers that is not a one-to-one function. Identify two values that are mapped to the same value to demonstrate that it is not one-to-one. Give an example of a function that is defined on the set of rational numbers that is not an onto function. Identify one value that is not mapped to, to demonstrate that it is not onto. Give an example of a function defined on the real numbers that is a one-to-one correspondence. Define the inverse of that function.

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
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Give an example of a function that is defined on the set of integers that is not a one-to-one function. Identify two values that are mapped to the same value to demonstrate that it is not one-to-one. Give an example of a function that is defined on the set of rational numbers that is not an onto function. Identify one value that is not mapped to, to demonstrate that it is not onto. Give an example of a function defined on the real numbers that is a one-to-one correspondence. Define the inverse of that function.

 
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