Identifying Functions in Relations

The video tutorial explains the difference between relations and functions, emphasizing that a function is a special type of relation where each x-value has only one corresponding y-value. It provides examples to illustrate how to identify functions and non-functions, using both numerical examples and diagrammatic representations. The tutorial concludes with a summary of the key points to determine if a relation is a function.

What is a key characteristic of a function in terms of x and y values?

• Each x-value can have multiple y-values.

• Each x-value can have only one y-value.

• Each y-value can have multiple x-values.

• Each y-value can have only one x-value.

If an x-value in a relation has two different y-values, what can be concluded?

• The relation is undefined.

• The relation is both a function and not a function.

• The relation is not a function.

• The relation is a function.

In the given example, why is the relation with x-value 5 not a function?

• Because it has only one y-value.

• Because it has the same y-value twice.

• Because it has two different y-values.

• Because it has no y-values.

What is the issue with the relation where x-value 'm' has multiple y-values?

• It is a function because it has multiple y-values.

• It is not a function because it has multiple y-values.

• It is a function because it has the same y-value.

• It is not a function because it has the same y-value.

How can diagrams help in identifying functions?

• By showing multiple arrows from one x-value.

• By showing a single arrow from each x-value.

• By showing no arrows from any x-value.

• By showing arrows only from y-values.

What indicates a relation is not a function in a diagram?

• All y-values have a single arrow pointing to the same x-value.

• One x-value has multiple arrows pointing to different y-values.

• One y-value has multiple arrows pointing to different x-values.

• All x-values have a single arrow pointing to the same y-value.

What does it mean if a diagram shows multiple branches from a single x-value?

• The relation is undefined.

• The relation is a function.

• The relation is not a function.

• The relation is both a function and not a function.

What is the significance of having only one arrow from each x-value in a diagram?

• It indicates the relation is both a function and not a function.

• It indicates the relation is a function.

• It indicates the relation is undefined.

• It indicates the relation is not a function.

In a function, what is the relationship between x-values and y-values?

• Each y-value can have only one x-value.

• Each y-value can have multiple x-values.

• Each x-value can have only one y-value.

• Each x-value can have multiple y-values.

What is the main focus when determining if a relation is a function?

• Checking if each y-value has multiple x-values.

• Checking if each x-value has multiple y-values.

• Checking if each x-value has only one y-value.

• Checking if each y-value has only one x-value.