Which Of The Following Relation Is Not A Function? (Answer)
FUNCTIONS – In this article, we are going to discuss which relation is not a function. Furthermore, we are going to learn about why these are important.
Which of the following relations is NOT a function?
The choices here are:
- Rule which assigns a capital city to each province.
- The rule which assigns a President to each country.
- The rule which assigns religion to each person.
- Rule which assigns tourist spot to each province.
The answer to the question is letter C, or the third choice “The rule which assigns religion to each person.“. This is because each individual has a right to choose their own religion.
It is not something that is forced or something that is set. The other choices are simply things that are required. For example, each province needs to have a capital city.
Meanwhile, each country needs to have a leader or a president. And, each province also has its own tourist spots. However, you cannot assign religion to each person.
Another set of relations that we can discuss is the relationship between x and y values. Here are the questions:
3. Which of the following relations is not a function?
a. {(1,-5), (3,1), (-5,4), (4,-2)}
b. {(1,-5), (-1,6), (1,5), (6,-3)}
c. {(3,-2), (5,-6), (7,7), (8,8)}
d. {(2,7), (3,7), (4,7), (5,8)}
4. Does the mapping diagram represent a function? Why or why not?
a. Yes, because each x-value has only one y-value paired with it
b. Yes, because the x-value 11 has two y-values pair with it.
c. No, because the x-value 11 has two y-values pair with it.
d. No, because each x-value has only one y-value paired with it.
The answers to the question above is A and C respectively.
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