Okay so I have no clue how to determine if a relation is a function.

Here is an example can you tell me how to determine this? D:

Example:
Determine whether the relation is a function. {(-5,5), (-2,5), (0,5), (2,5)}

Thanks in advance

a funcion has a one to one relationship.

here, for each x, it maps into a single distinct y. Each x here maps to a y.

Now, the reverse: is x a function of y? No, because for y=5, x can be -5, -2, 0, or 2. x is not a function of y.

What if you had added the point (-5,4)? Then y would not be a function of x, because if x=-5, it maps into both 4, and 5. Not a function then

Thanks

To determine if a relation is a function, you need to check if each input (x-value) of the relation is associated with exactly one output (y-value). Here's how you can determine if the given relation is a function:

1. Identify the x-values and y-values in the relation:
- X-values: -5, -2, 0, 2
- Y-values: 5

2. Check if each x-value is associated with only one y-value.
- In the given relation, all the x-values (-5, -2, 0, 2) are associated with the same y-value (5).
- Since all the x-values have the same y-value, the relation is a function.

In summary, the given relation is a function because each x-value is associated with exactly one y-value.