Here is the graph of the function $f(x) = 3x + 1$. You can see the line has a slope of 3 and a y-intercept at 1, which means it crosses the y-axis at $(0, 1)$.

Do you want more details or have any questions about this function or the graph?

Here are 5 related questions to explore:

1. How do you determine the slope of a linear function from its equation?
2. What is the y-intercept of the function $f(x) = 3x + 1$?
3. How does changing the slope affect the steepness of the graph?
4. How would the graph change if the function was $f(x) = 3x - 1$?
5. What happens to the graph if the coefficient of $x$ is negative?

Tip: For any linear equation in the form $f(x) = mx + b$, the coefficient $m$ represents the slope, and $b$ represents the y-intercept.