The function you've provided is \( f(x) = x - 3 \). 

This is a linear function, and it represents a straight line when graphed on the coordinate plane. The slope of the line is 1, and the y-intercept (where the line crosses the y-axis) is at \( y = -3 \).

### Key Points:
1. **Slope (m):** The slope is 1, indicating that for every unit increase in \( x \), \( f(x) \) increases by 1.
2. **Y-intercept:** The function crosses the y-axis at \( (0, -3) \).
3. **X-intercept:** To find where the function crosses the x-axis (i.e., \( f(x) = 0 \)):
   \[
   0 = x - 3 \implies x = 3
   \]
   So, the x-intercept is at \( (3, 0) \).

### Graph:
The graph of \( f(x) = x - 3 \) is a straight line that passes through the points \( (0, -3) \) and \( (3, 0) \).

Would you like more details on any specific part of this function, or any further analysis?

### Related Questions:
1. What is the slope-intercept form of a linear function?
2. How do you find the x-intercept and y-intercept of a linear function?
3. What does the graph of the function \( f(x) = x - 3 \) look like?
4. How does the slope of a linear function affect its graph?
5. How do you determine the direction of the line from the slope?
6. What is the general form of a linear equation?
7. How can you find the point of intersection between two linear functions?
8. What happens to the graph if the function changes to \( f(x) = x + 3 \)?

**Tip:** In linear functions, the slope indicates the steepness and direction of the line, while the y-intercept shows where the line crosses the y-axis.

Explore the linear function f(x) = x - 3 and understand its graph, slope, y-intercept, and x-intercept. This problem provides insights into basic algebraic concepts and graphing techniques. Suitable for Grades 7-9 students.

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