What is the domain and range of the relation [(1, -8), (-7, 8), (-3, 7), (-3, -5)]?

Select one:
A. Domain= ( 7, 8, -8, -5) ; Range = ( -3, -7, 1)
B. Domain = (-3, -7, 1,-13); Range = ( 7, 8, -8, -5)
C. Domain = ( -3, -7, 1, 3) ; Range = ( 7, 8, -8, -5)
D. Domain = (-3, -7, 1); Range = ( 7, 8, -8, -5)

To find the domain and range of the relation \([(1, -8), (-7, 8), (-3, 7), (-3, -5)]\), let's break down the terms:

- **Domain:** The domain consists of all the first elements (x-coordinates) from the ordered pairs.
- **Range:** The range consists of all the second elements (y-coordinates) from the ordered pairs.

Given relation: \[(1, -8), (-7, 8), (-3, 7), (-3, -5)\]

- **Domain:** The first elements are \(1\), \(-7\), \(-3\), and \(-3\). So, the domain is \(\{1, -7, -3\}\). (Duplicates are only listed once).
- **Range:** The second elements are \(-8\), \(8\), \(7\), and \(-5\). So, the range is \(\{-8, 8, 7, -5\}\).

Now, let's compare this with the provided options:

- **Domain:** \(\{1, -7, -3\}\)
- **Range:** \(\{-8, 8, 7, -5\}\)

The correct choice matches these sets:

**Answer: D. Domain = \(-3, -7, 1\); Range = \(7, 8, -8, -5\)**

Would you like further details or have any questions?

Here are five relative questions:
1. What is the difference between a function and a relation?
2. How would the domain and range change if we added the pair \((2, -7)\)?
3. Can a relation have the same domain and range?
4. How do you determine if a relation is a function?
5. What is the domain and range of the function \(f(x) = x^2\)?

**Tip:** When determining the domain and range, always list unique values only.

Learn how to determine the domain and range of a relation with step-by-step explanations and examples. Explore the concepts of relations, domain, and range through a solved example [(1, -8), (-7, 8), (-3, 7), (-3, -5)]. Suitable for Grades 7-9 students.

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