The given linear function is $f(x) = 3x - 1$. We are asked to find the values of $f(0)$, $f(1)$, and $f(2)$.

Let's evaluate these:

1. For $f(0)$: $f(0) = 3(0) - 1 = 0 - 1 = -1$

2. For $f(1)$: $f(1) = 3(1) - 1 = 3 - 1 = 2$

3. For $f(2)$: $f(2) = 3(2) - 1 = 6 - 1 = 5$

Results:

• $f(0) = -1$
• $f(1) = 2$
• $f(2) = 5$

Would you like further details or explanations on any of these steps?

Here are five follow-up questions to expand on this:

1. What does the slope of this linear function represent geometrically?
2. How would the function change if the slope were doubled?
3. What is the y-intercept of this function, and how can it be interpreted?
4. How can we use this function to find the equation of a line parallel to it?
5. What would happen to the function if the constant term (-1) were increased?

Tip: For any linear function $f(x) = mx + b$, $m$ represents the slope, which dictates how steep the line is, and $b$ represents the y-intercept, showing where the line crosses the y-axis.