(-1,1)
(0,-1)
(5,-11)
(10,-21)

What is the domain of the set of ordered pairs above?

The domain of a set of ordered pairs consists of all the first components (x-coordinates) in those pairs. Given the set of ordered pairs:

\[
(-1, 1),\ (0, -1),\ (5, -11),\ (10, -21)
\]

The domain is the set of all the x-values:

\[
\{-1, 0, 5, 10\}
\]

Would you like further details or have any questions?

Here are five related questions:

1. What is the range of this set of ordered pairs?
2. How do you determine the domain for a function from its graph?
3. What is the domain of a quadratic function?
4. Can you find the slope of the line passing through any two of these points?
5. How would you determine if these points lie on a straight line?

**Tip:** The domain of a function or a set of ordered pairs is simply the collection of all possible input values (x-values) that the function or set can accept.

Explore the concept of domain in mathematics through ordered pairs. Learn how to identify and define the domain based on the x-coordinates of given pairs such as (-1, 1), (0, -1), (5, -11), and (10, -21). Suitable for Grades 7-9.

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