Let's go through the questions in your image:

The relation $R$ is defined by the ordered pairs: $R = \{(-6,6), (-3,9), (-2,-10), (3,4), (9,7)\}$

1. The domain of $R$:

The domain consists of the first values from each ordered pair. So, the domain of $R$ is: $\{-6, -3, -2, 3, 9\}$

2. The range of $R$:

The range consists of the second values from each ordered pair. So, the range of $R$ is: $\{6, 9, -10, 4, 7\}$

3. Is $R$ a function?

For $R$ to be a function, each input (first value in the pairs) must have exactly one output (second value). In this case, each element in the domain is associated with a unique element in the range. Therefore, $R$ is a function.

Now that we've addressed these points, do you have any further questions? Would you like additional details on any part?

Follow-up Questions:

1. How do you determine if a relation is not a function?
2. What happens if two different inputs map to the same output?
3. What is the difference between domain and range in a function?
4. Can a function have the same output for different inputs?
5. How do you represent a function using function notation?

Tip:

Always check that every input has only one output when determining if a relation is a function!