**Question:**Which of the following relations does not represent a function?**Options:**A. $\{(4, 4), (5, 4), (6, 4)\}$B. $\{(4, 4), (4, 5), (4, 6)\}$C. $\{(4, 5), (5, 5), (6, 5)\}$D. $\{(4, 4), (5, 5), (6, 6)\}$---**Explanation:**A relation is considered a function if each element of the domain (the set of all first components) is paired with exactly one element of the range (the set of all second components). - **Option A**: Each element of the domain (4, 5, 6) is paired with one unique element of the range (all 4). This is a function. - **Option B**: The element 4 in the domain is paired with multiple elements in the range (4, 5, 6). This does not represent a function because one domain element corresponds to multiple range elements. - **Option C**: Each element of the domain (4, 5, 6) is paired with one unique element of the range (all 5). This is a function. - **Option D**: Each element of the domain (4, 5, 6) is paired with one unique element of the range (4, 5, 6). This is a function.**Conclusion:**The correct answer is **B**. This relation does not represent a function since the element 4 in the domain corresponds to more than one element in the range.

We will use definition of function to solve this

Answered: Which of the following relations does…

Which of the following relations does not represen a function? A. (4, 4), (5, 4), (6, 4)} B. (4, 4), (4, 5), (4, 6)} (4, 5), (5, 5), (6, 5)} D. {(4, 4), (5, 5), (6, 6)}

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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