The function you've provided is:

\[
f(x) = 3x - 1
\]

This represents a **linear function**, where:

- The slope \( m = 3 \)
- The y-intercept is \( -1 \)

### Key Information:
1. The slope indicates that for every unit increase in \( x \), \( f(x) \) increases by 3.
2. The y-intercept at \( x = 0 \) is \( f(0) = -1 \), meaning the graph crosses the y-axis at \( -1 \).
3. The graph of this function is a straight line.

Would you like further details about graphing this function or any other specific concepts related to it?

Here are 5 related questions to deepen your understanding:

1. What is the equation of a line parallel to \( f(x) = 3x - 1 \)?
2. How do you calculate the x-intercept of this function?
3. How does the graph change if you change the slope to 5 instead of 3?
4. How do you find the inverse of this function?
5. What happens to the graph if you add a constant to the function?

**Tip**: The slope of a line tells you how steep the line is. A larger slope means a steeper line.

Explore the linear function f(x) = 3x - 1, where the slope is 3 and the y-intercept is -1. Learn how to graph this function, understand key concepts such as slope and intercept, and answer related questions about parallel lines and function transformations. Ideal for students in Grades 6-8.

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