Final answer:
Books to their ISBN are a one-to-one function since each book has a unique ISBN. In contrast, books to authors is not one-to-one because one author may write multiple books. Similarly, true or false questions to answers is not one-to-one due to multiple questions potentially having the same answer.
Step-by-step explanation:
When considering whether a relationship is a one-to-one function, we look at whether each input has a unique output and no output is paired with more than one input.
- (a) Books to authors is generally not a one-to-one function because one author can write multiple books.
- (b) SIM cards to cell phone numbers is a one-to-one function since each SIM card is associated with a unique cell phone number.
- (c) True or False questions to answers is not a one-to-one function since multiple questions can have the same answer, 'true' or 'false'.
- (d) Books to its ISBN is a one-to-one function. For each print book edition, there is a unique PRINT BOOK ISBN-10 and PRINT BOOK ISBN-13. Similarly, there are unique identifiers for digital versions, such as PDF VERSION ISBN-13, and different formats such as ENHANCED TEXTBOOK ISBN-10 and ENHANCED TEXTBOOK ISBN-13. These specific codes are used to uniquely identify a book, ensuring that no two books share the same ISBN.