https://file.aiquickdraw.com/mathbot/file/17242788232160o5cbp9a.jpg

To determine the domain of the given graph, we need to identify the range of \( x \)-values over which the graph is defined.

### Analyzing the Graph:

1. The graph starts at \( x = -12 \) and ends at \( x = -1 \).
2. The left endpoint at \( x = -12 \) is an open circle, indicating that \( x = -12 \) is **not** included in the domain.
3. The right endpoint at \( x = -1 \) is a closed circle, indicating that \( x = -1 \) **is** included in the domain.

### Domain:
Based on this, the domain of the graph is:
\[
(-12, -1]
\]
This means the graph includes all \( x \)-values from \( -12 \) to \( -1 \), with \( -12 \) not included and \( -1 \) included.

Would you like more details on this or have any questions?

### Related Questions:
1. What is the range of this graph?
2. How do we identify if an endpoint is included or excluded from the domain?
3. How would the domain change if the open circle at \( x = -12 \) were closed?
4. What is the significance of an open versus a closed interval in a domain?
5. Can the domain of a function be composed of multiple intervals?

### Tip:
When evaluating the domain from a graph, remember that an open circle excludes the value at that point from the domain, while a closed circle includes it.

Discover how to find the domain of a graph using interval notation. Analyze the given graph's x-values and determine which values are included and excluded. Suitable for high school students studying graph theory and interval notation.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation