196k views
0 votes
Which of the following relations are functions?

Which of the following relations are functions?-example-1

1 Answer

4 votes

The second and third diagrams represent functions

For a relation to be a function, each input (X-value) must correspond to exactly one output (Y-value). Let's analyze each diagram:

1st Diagram:

4 is associated with both 0 and 4.

9 is associated with both -1 and 5.

16 is associated with both -2 and 6.

This violates the definition of a function because each input should have a unique output. Therefore, the 1st diagram is not a function.

2nd Diagram:

Each X-value (input) is associated with a unique Y-value (output).

This satisfies the definition of a function. Therefore, the 2nd diagram is a function.

3rd Diagram:

Each X-value (input) is associated with a unique Y-value (output).

This also satisfies the definition of a function. Therefore, the 3rd diagram is a function.

Therefore,

The 1st diagram is not a function.

The 2nd diagram is a function.

The 3rd diagram is a function.

User Orysia
by
7.6k 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