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what is the domain of the graphed relation?

The graph shows a linear function on a Cartesian plane, with \( x \)-axis (horizontal) and \( y \)-axis (vertical), ranging from \(-10\) to \(10\) in both directions.

### Identifying the domain:
The domain of a relation refers to the set of all possible \( x \)-values (input values) for which the function is defined.

In this case, the line continues infinitely in both the left and right directions (towards negative and positive \( x \)-values), indicating that the graph extends indefinitely along the \( x \)-axis.

### Conclusion:
The domain of this linear relation is:
\[
\text{Domain: } (-\infty, \infty)
\]
or, equivalently, "all real numbers."

Would you like to discuss further details or have any additional questions?

Here are 5 related questions for deeper exploration:
1. What is the range of the graphed relation?
2. What is the slope of the line in the graph?
3. How would you express the equation of this line in slope-intercept form?
4. Can the relation be expressed as a function, and why?
5. How would you determine the intercepts of the line?

**Tip:** The domain of a function is closely tied to the type of function you're working with. For example, linear functions usually have a domain of all real numbers unless there are restrictions.

What is the domain of the graphed relation?

Explore the domain of the graphed linear relation. Learn how to identify the domain of a function, interpret the graph, and understand why the domain for a linear equation is all real numbers. Suitable for Grades 8-10 students.

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