https://file.aiquickdraw.com/mathbot/file/1729276890687cckcchwk.jpg

To determine the correct inequality representing the domain of the function shown in the graph, let's analyze it step by step:

The domain of a function represents the set of all possible **x-values** that the function can take. By inspecting the graph:

1. The line begins at **x = -3** and ends at **x = 6**.
2. Both points at \(x = -3\) and \(x = 6\) are filled in, indicating that the endpoints are included in the domain.

Thus, the domain includes all values of \(x\) from \(-3\) to \(6\), **including** both endpoints.

### The inequality that best represents this domain is:
\[
\boxed{-3 \leq x \leq 6}
\]
So the correct answer is **Option A**.

Would you like more details on how domains are determined from graphs?

Here are 5 related questions to explore:
1. What is the range of the function shown on the graph?
2. How can you determine if a function is continuous from its graph?
3. What happens to the domain of a function if the endpoints are open circles?
4. How would the inequality change if the line extended beyond \(x = 6\)?
5. Can a function have multiple domain restrictions in one graph?

**Tip:** Always check whether the endpoints of a function's graph are open (excluded) or closed (included) when determining the domain.

Which inequality best represents the domain of the function shown on the graph?

Learn how to determine the domain of a linear function by analyzing the graph. This question covers key concepts of graphing and understanding domains, suitable for students in Grades 7-10.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation