https://file.aiquickdraw.com/mathbot/file/1727290940965sc4j8h67.jpg

This graph shows a linear function represented by a diagonal line. To determine the **domain** and **range** of the function, let's analyze the behavior of the line:

### Domain:
The **domain** refers to the possible \( x \)-values for which the function is defined. Since this is a linear function and the line extends infinitely in both directions along the \( x \)-axis, the domain is all real numbers.

- **Domain**: \( (-\infty, \infty) \)

### Range:
The **range** refers to the possible \( y \)-values the function can take. Similar to the domain, the line extends infinitely along the \( y \)-axis as well, meaning that the function covers all possible \( y \)-values.

- **Range**: \( (-\infty, \infty) \)

Would you like more details or have any questions?

Here are 5 related questions you can explore further:
1. How do you find the slope of the linear function from the graph?
2. What is the equation of the line based on two points from the graph?
3. How do the domain and range of quadratic functions differ from linear functions?
4. What is the significance of the slope and y-intercept in the equation of a line?
5. How do transformations (shifts, stretches) affect the domain and range of functions?

**Tip**: When analyzing the domain and range of a function, always look at the horizontal (for domain) and vertical (for range) extents of the graph.

What are the domain and range of the linear function shown in the graph?

Learn how to determine the domain and range of a linear function from its graph. This example covers key concepts in algebra, including understanding linear functions and how to interpret their graphical representations. Suitable for Grades 7-10.

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