112k views
3 votes
Which relation shown is not a function?

A. {(14, 15), (5, 7), (3, 10), (11, 1), (3, 8)}
B. {(1, 1), (2, 2), (3, 3), (4, 4), (5, 4)}
C. {(14, 15), (5, 7), (3, 10), (11, 1), (6,10)}
D. {(14, 15), (5, 15), (3, 15), (11, 15), (5, 15)}

I found it out ...
The answer is: A.

User DokiCRO
by
8.0k points

2 Answers

2 votes
the correct answer is A
User Pouya Samie
by
8.7k points
5 votes

Answer: The correct option is

(A) {(14, 15), (5, 15), (3, 15), (11, 15), (5, 15)}.

Step-by-step explanation: We are given to select the relation that is not a function.

We know that

a relation in the form of ordered pairs, is not a function if any first element is associated to more than one second elements.

Option (A) : The given relation is

{(14, 15), (5, 7), (3, 10), (11, 1), (3, 8)}.

Here, we can see that the element 3 is associated to two second elements, 10 and 8.

So, this relation is not a function.

Option (A) is CORRECT.

Option (B) : The given relation is

{(1, 1), (2, 2), (3, 3), (4, 4), (5, 4)}.

Here, we can see that each first element is associated to only one second element.

So, this relation is a function.

Option (B) is NOT CORRECT.

Option (C) : The given relation is

{(14, 15), (5, 7), (3, 10), (11, 1), (6,10)}.

Here, we can see that each first element is associated to only one second element.

So, this relation is a function.

Option (C) is NOT CORRECT.

Option (D) : The given relation is

{(14, 15), (5, 15), (3, 15), (11, 15), (5, 15)}.

Here, we can see that each first element is associated to only one second element.

So, this relation is a function.

Option (D) is NOT CORRECT.

Thus, (A) is the correct option.

User Thodwris
by
7.9k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories