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.