https://file.aiquickdraw.com/mathbot/file/1729277681765dleeafkm.jpg

I see that you've uploaded a photo showing a math question asking to determine the domain and range for each relation, and match the correct answers. Let's break it down.

The relations are given in table form with \(x\)- and \(y\)-values:

- Relation **a**: \(\{(-3, 7), (-2, 4), (-3, 1), (1, 6)\}\)
- Relation **b**: \(\{(-4, 4), (-3, 9), (0, 6), (2, 4)\}\)
- Relation **c**: \(\{(-3, 4), (0, 1), (2, 3), (4, 9)\}\)
- Relation **d**: \(\{(2, 7), (7, 4), (2, 6), (7, 2)\}\)

### How to determine Domain and Range:
- **Domain** (\(D\)) is the set of all possible \(x\)-values (input values).
- **Range** (\(R\)) is the set of all possible \(y\)-values (output values).

Let's compute the domain and range for each:

1. **Relation a**:
   - \(D: \{-3, -2, 1\}\) (since -3 repeats, list it only once)
   - \(R: \{7, 4, 1, 6\}\)

2. **Relation b**:
   - \(D: \{-4, -3, 0, 2\}\)
   - \(R: \{4, 9, 6\}\)

3. **Relation c**:
   - \(D: \{-3, 0, 2, 4\}\)
   - \(R: \{4, 1, 3, 9\}\)

4. **Relation d**:
   - \(D: \{2, 7\}\)
   - \(R: \{7, 4, 6, 2\}\)

Now, match the correct domain and range from the drag-and-drop list in the left box. Based on this, you can fill out the appropriate spaces for domain and range.

Do you want further details on this? Or explanations on how to complete the drag-and-drop exercise?

Here are 5 related questions:
1. What is the difference between a function and a relation?
2. Can a domain have repeated values?
3. How do you know when a relation is not a function?
4. What is the significance of a range in real-world applications?
5. How can you represent a relation graphically?

**Tip**: Always check for repeating \(x\)-values when determining if a relation is a function!

Determine the Domain and Range for each relation. Drag and drop the correct choice to the appropriate space.

Learn how to determine the Domain and Range for relations using step-by-step examples. This problem helps students understand key algebraic concepts such as identifying the domain (x-values) and range (y-values). Suitable for Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation