How do you know whether a relation is a function?(1 point)

Responses

By determining if each value from one set maps to another set such that each element of the domain pairs with exactly two elements of the range.
By determining if each value from one set maps to another set such that each element of the domain pairs with exactly two elements of the range.

By determining if each value from one set maps to another set such that exactly one element of the domain pairs with exactly one element of the range.
By determining if each value from one set maps to another set such that exactly one element of the domain pairs with exactly one element of the range.

By determining if each value from one set maps to another set such that each element of the domain pairs with exactly one element of the range.
By determining if each value from one set maps to another set such that each element of the domain pairs with exactly one element of the range.

By determining if each value from one set maps to another set such that one element of the domain pairs with exactly two elements of the range.

By determining if each value from one set maps to another set such that exactly one element of the domain pairs with exactly one element of the range.

Does the following relation represent a function?

(1 point)
Responses

No, it does not represent a function. The domain value of 2 corresponds to two values within the range.
No, it does not represent a function. The domain value of 2 corresponds to two values within the range.

Yes, it does represent a function. The domain value of 2 corresponds to two values within the range.
Yes, it does represent a function. The domain value of 2 corresponds to two values within the range.

Yes, it does represent a function. Each value in the domain corresponds to exactly one value in the range.
Yes, it does represent a function. Each value in the domain corresponds to exactly one value in the range.

No, it does not represent a function. Each value in the domain corresponds to exactly one value in the range.
No, it does not represent a function. Each value in the domain corresponds to exactly one value in the range.

No, it does not represent a function. The domain value of 2 corresponds to two values within the range.

Juan has blood type A, Lily has blood type AB, and Aaron has blood type O. Is this relation a function? Explain.(1 point)

Responses

Yes, this relation is a function. Each name in the domain corresponds to exactly two elements in the range of blood types.
Yes, this relation is a function. Each name in the domain corresponds to exactly two elements in the range of blood types.

No, this relation is not a function. Each name in the domain corresponds to exactly one element in the range of blood types.
No, this relation is not a function. Each name in the domain corresponds to exactly one element in the range of blood types.

No, this relation is not a function. Each name in the domain corresponds to exactly two elements in the range of blood types.
No, this relation is not a function. Each name in the domain corresponds to exactly two elements in the range of blood types.

Yes, this relation is a function. Each name in the domain corresponds to exactly one element in the range of blood types.
Yes, this relation is a function. Each name in the domain corresponds to exactly one element in the range of blood types.

No, this relation is not a function. Each name in the domain corresponds to exactly one element in the range of blood types.

Determine if the set of points below is a function.

{(−1,3), (2,5), (3,8), (4,5)}
(1 point)
Responses

The set of points is a function because the range consists of the value 5 two times.
The set of points is a function because the range consists of the value 5 two times.

The set of points is a function because each value in the domain corresponds to exactly one value in the range.
The set of points is a function because each value in the domain corresponds to exactly one value in the range.

The set of points is not a function because the range consists of the value 5 two times.
The set of points is not a function because the range consists of the value 5 two times.

The set of points is not a function because each value in the domain corresponds to exactly one value in the range.

The set of points is a function because each value in the domain corresponds to exactly one value in the range.

Isa and Benny are both in Mrs. Johnson's class, Patrick is in Mr. Jimenez's class, and Jose is in Mrs. True's class. Is this relation a function?(1 point)

Responses

This relation is not a function because each student is in exactly one teacher's class.
This relation is not a function because each student is in exactly one teacher's class.

This relation is a function because each student is in exactly one teacher's class.
This relation is a function because each student is in exactly one teacher's class.

This relation is a function because both Isa and Benny are in Mrs. Johnson's class.
This relation is a function because both Isa and Benny are in Mrs. Johnson's class.

This relation is not a function because both Isa and Benny are in Mrs. Johnson's class.

This relation is a function because each student is in exactly one teacher's class.

The correct way to determine if a relation is a function is by determining if each value from one set (called the domain) maps to another set (called the range) such that each element of the domain pairs with exactly one element of the range. In other words, for each input value, there should only be one corresponding output value. If any input value in the domain is paired with more than one output value in the range, then the relation is not a function.