https://file.aiquickdraw.com/mathbot/file/1730221892975xrtnkeiu.jpg

To find the domain of the function shown in the graph, we need to identify the range of \( x \)-values covered by the line segment from its starting point to its ending point.

### Step-by-Step Solution:
1. **Identify the Endpoints:**
   - The line segment starts at the point \( (-1, 1) \) and ends at \( (3, 9) \).

2. **Determine the Domain:**
   - The domain is the set of all possible \( x \)-values between the endpoints.
   - From the graph, the \( x \)-values range from \( -1 \) to \( 3 \).

3. **Write the Domain in Set-Builder Notation:**
   - In set-builder notation, the domain is represented as \( \{ x | -1 \leq x \leq 3 \} \).

### Answer:
The correct choice is:
- **\( \{ x | -1 \leq x \leq 3 \} \)**

Would you like more details on set-builder notation or have any other questions?

Here are some related questions to consider:
1. How do you determine the range of the function from a graph?
2. What is set-builder notation, and why is it useful?
3. How do domain and range differ in a function?
4. What are common errors when reading domains from graphs?
5. How does one identify continuous versus discrete domains?

**Tip:** When analyzing a graph for the domain, focus on the horizontal span of the graph (leftmost to rightmost points) to determine all possible \( x \)-values.

Which set builder notation represents the domain of the function in the graph?

Learn how to determine the domain of a function from a graph using set builder notation. This question explores interpreting the x-values covered by a function and representing them accurately in set notation. Ideal for students in Grades 8-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation