Select The Correct Answer.${ \begin{array}{c} (-1,1) \ (0,-1) \ (5,-11) \ (10,-21) \end{array} }$What Is The Domain Of The Set Of Ordered Pairs Above?A. { {-1,0,5,10}$}$ B. { {-1,10}$}$ C. { {-1,1}$}$
**Understanding the Domain of a Set of Ordered Pairs**
What is the Domain of a Set of Ordered Pairs?
The domain of a set of ordered pairs is the collection of all the first elements or x-coordinates of the pairs. In other words, it is the set of all the x-values that correspond to the given y-values.
What is the Domain of the Set of Ordered Pairs Above?
To determine the domain of the set of ordered pairs above, we need to look at the x-coordinates of each pair.
- The first pair has an x-coordinate of -1.
- The second pair has an x-coordinate of 0.
- The third pair has an x-coordinate of 5.
- The fourth pair has an x-coordinate of 10.
Selecting the Correct Answer
Based on the x-coordinates of the pairs, we can see that the domain of the set of ordered pairs is the set of all the x-values. Therefore, the correct answer is:
A. { -1, 0, 5, 10 }
This is because the domain of the set of ordered pairs is the collection of all the first elements or x-coordinates of the pairs, which are -1, 0, 5, and 10.
Why is Answer B Incorrect?
Answer B, { -1, 10 }, is incorrect because it only includes two of the x-coordinates, -1 and 10, and excludes the other two x-coordinates, 0 and 5.
Why is Answer C Incorrect?
Answer C, { -1, 1 }, is incorrect because it includes the x-coordinate 1, which is not present in any of the pairs.
Key Takeaways
- The domain of a set of ordered pairs is the collection of all the first elements or x-coordinates of the pairs.
- To determine the domain of a set of ordered pairs, we need to look at the x-coordinates of each pair.
- The correct answer is the set of all the x-values.
Frequently Asked Questions
Q: What is the domain of a set of ordered pairs?
A: The domain of a set of ordered pairs is the collection of all the first elements or x-coordinates of the pairs.
Q: How do I determine the domain of a set of ordered pairs?
A: To determine the domain of a set of ordered pairs, we need to look at the x-coordinates of each pair.
Q: What is the correct answer for the domain of the set of ordered pairs above?
A: The correct answer is { -1, 0, 5, 10 }.
Q: Why is answer B incorrect?
A: Answer B is incorrect because it only includes two of the x-coordinates, -1 and 10, and excludes the other two x-coordinates, 0 and 5.
Q: Why is answer C incorrect?
A: Answer C is incorrect because it includes the x-coordinate 1, which is not present in any of the pairs.
Q: What is the key takeaway from this article?
A: The key takeaway is that the domain of a set of ordered pairs is the collection of all the first elements or x-coordinates of the pairs.