https://file.aiquickdraw.com/mathbot/file/17260689183210sldy3gx.jpg

Let's analyze the problem step by step.

We are given the function:

\[
f(x) = 3x - 2
\]

### a) Find \( f(0) \)
To find \( f(0) \), substitute \( x = 0 \) into the function:

\[
f(0) = 3(0) - 2 = -2
\]

This matches the result already provided.

### b) Solve \( f(x) = 0 \)
To solve \( f(x) = 0 \), set the equation equal to 0 and solve for \( x \):

\[
3x - 2 = 0
\]
\[
3x = 2
\]
\[
x = \frac{2}{3}
\]

### c) Use your answers to write the ordered pairs
From part (a), we know that \( f(0) = -2 \), so the ordered pair for this point is \( (0, -2) \).

From part (b), we found that \( x = \frac{2}{3} \) when \( f(x) = 0 \), so the ordered pair for this point is \( \left(\frac{2}{3}, 0\right) \).

### Final Answer for ordered pairs:
The ordered pairs are \( (0, -2) \) and \( \left(\frac{2}{3}, 0\right) \).

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Would you like more details on any step? Here are some additional related questions for practice:

1. How would you solve \( f(x) = 5 \) for this function?
2. What is the slope of the line represented by \( f(x) = 3x - 2 \)?
3. How can you find the y-intercept of a linear function?
4. What is the domain of the function \( f(x) = 3x - 2 \)?
5. How would the graph of \( f(x) = 3x - 2 \) look?

**Tip**: When solving for the x-intercept, always set \( f(x) = 0 \).

Use f(x) = 3x - 2 to do the following: a) Find f(0). b) Solve f(x) = 0. c) Use your answers to write the resulting ordered pairs.

Learn how to solve the linear function f(x) = 3x - 2 by finding f(0) and solving for x when f(x) = 0. This problem helps understand x- and y-intercepts of a linear equation, suitable for students in Grades 6-8.

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