Chapter 14.1, Problem 1CE

To determine

To explain: Each of the correspondences pictured is not a one-to-one mapping from set A to set B.

Answer to Problem 1CE

None of the picture is one-to-one mapping.

Explanation of Solution

Given information:

  

A mapping from set A to set B is called a one-to-one mapping if every member of set B has exactly one pre image in set A.

In picture a, two elements in set B have single pre image in set A.

In picture b, one element is vacant; it means no pre image in set A.

In picture c, there are in single element in set B has two pre image in set A.

In picture d, in set A, there is no any image in set B.

Therefore, it is clear that it in all four cases this function is not one-to-one function.