The given function is $f(x) = \frac{x}{3}$.

This function represents a linear equation where the slope is $\frac{1}{3}$ and the y-intercept is 0 (i.e., the graph passes through the origin). In this function:

• For any value of $x$, you can find $f(x)$ by dividing $x$ by 3.
• It is a straight line with a gradual increase (slope = $\frac{1}{3}$), which means for every increase of 3 units in $x$, $f(x)$ increases by 1 unit.

Would you like more details on the graph, behavior, or properties of this function?

Here are 5 related questions to explore further:

1. What is the slope of a linear function and how does it affect the graph?
2. How do you graph the function $f(x) = \frac{x}{3}$?
3. How does the function change when a constant is added or subtracted to $f(x)$?
4. What happens to the function $f(x)$ as $x$ approaches infinity or negative infinity?
5. Can you solve for $x$ if $f(x) = 4$?

Tip: For linear functions, the slope determines how steep the line is and in which direction it moves (positive or negative).