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Which of these statements best describes the relation shown in Item 1?

A- A function that is one-to-one
B-A function that is many-to-one
C-A function that is one-to-many
D-A relation that is not a function

Which of these statements best describes the relation shown in Item 1 A A function that is onetoone BA function that is manytoone CA function that is onetomany class=

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Answer:

The relation is 'a function that is one-to-many'.

Step-by-step explanation:

From the table, we can see that element 10 i.e. y=10 in the range, corresponds to two elements i.e. x=-5, and x=5 in the domain.

In other words, the given table represents the many-to-one function as an element of the range y = 10 corresponds to more than one element in the domain.

Therefore, the relation is 'a function that is one-to-many'.

The statements that best describe the relation shown in Item 1 is one to many. Option C is correct

Functions are represented as mappings to relate the domain of the given function with the co-domain.

For instance, the function y= x + b has a domain of x and the codomain of "y"

Mappings can be one to one, where each value of the domain is a unique value in the co-domain

Many to one where one element in the domain have more than one element in the codomain

From the given table, we can see that when y = 10, the corresponding x values are 5 and -5. his shows that the codomain value (10) has more than one unique value in the domain.

Hence the statements that best describe the relation shown in Item 1 is a one to many

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