Which statement below is correct for the following set of ordered pairs?
{(0,1.2),(3,2),(-1.2,3), (4, -2),(1,-1.2),(1,2,4)}
A. The set is a function since each element in the domain has a different element in the range.
B. The set is a function since each element in the range has a different element in the domain.
C. The set is a not a function since each element in the domain has a different element in the range.
D. The set is a not function since each element in the range has a different element in the domain.

Respuesta :

Answer:

C

Step-by-step explanation:

A function can not have the same x-values but can have the same y-values.

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The set does not represent a function, option (D) the set is a not function since each element in the range has a different element in the domain is correct.

What is a function?

It is defined as a special type of relationship and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

We have a set of ordered pairs:

{(0,1.2),(3,2),(-1.2,3), (4, -2),(1,-1.2),(1,2,4)}

We know there are four main types of mapping that are:

One to one, one to many, many to one, and many to many.

In the case of one to one, and many to one. the relation is a function but in the case of one to many and many to many relations is not a function.

As we can see in the set of ordered pairs the x values are repeated which is also not a property of a function hence it is not representing the function.

Thus, the set does not represent a function, option (D) the set is a not function since each element in the range has a different element in the domain is correct.

Learn more about the function here:

brainly.com/question/5245372