Determine whether or not the relation is a function (1,9)(2,10)(3,11)(4,12)

Yes

To determine whether or not the given relation is a function, we need to check if each input (x-value) in the relation is associated with a unique output (y-value). Here's how you can do it:

Step 1: Write down the input-output pairs given in the relation:
(1,9), (2,10), (3,11), (4,12)

Step 2: Identify the input values (x-values):
In this case, the input values are 1, 2, 3, and 4.

Step 3: Check for uniqueness:
Check if each of the input values corresponds to a unique output value (y-value). In other words, no two input values should have the same output value.

Let's go through the relation:
- For input value 1, the output is 9.
- For input value 2, the output is 10.
- For input value 3, the output is 11.
- For input value 4, the output is 12.

Since each input value has a unique output value in this relation, we can conclude that it is a function.