To create a table of values for the function \( g(x) = \frac{3x + 5}{8} \), we choose several values of \( x \), plug them into the function, and then calculate \( g(x) \).

Let's use the following values for \( x \): -2, -1, 0, 1, 2, and 3.

\[
g(x) = \frac{3x + 5}{8}
\]

### Table of Values:

| \( x \)  | \( g(x) \)          |
|:--------:|:-------------------:|
|   -2     | \( \frac{3(-2) + 5}{8} = \frac{-6 + 5}{8} = \frac{-1}{8} \)   |
|   -1     | \( \frac{3(-1) + 5}{8} = \frac{-3 + 5}{8} = \frac{2}{8} = \frac{1}{4} \)  |
|   0      | \( \frac{3(0) + 5}{8} = \frac{5}{8} \)  |
|   1      | \( \frac{3(1) + 5}{8} = \frac{3 + 5}{8} = 1 \) |
|   2      | \( \frac{3(2) + 5}{8} = \frac{6 + 5}{8} = \frac{11}{8} \) |
|   3      | \( \frac{3(3) + 5}{8} = \frac{9 + 5}{8} = \frac{14}{8} = \frac{7}{4} \) |

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Do you want details on how each value was calculated or any other clarification?

### Related Questions:
1. How do we interpret the slope of a linear function?
2. What is the y-intercept of the function \( g(x) = \frac{3x + 5}{8} \)?
3. How would the graph of \( g(x) = \frac{3x + 5}{8} \) look like?
4. What happens to \( g(x) \) if the slope is negative?
5. Can you solve for \( x \) when \( g(x) = 2 \)?

**Tip:** When graphing, the slope determines the steepness and direction of the line.

Learn how to create a table of values for the linear function g(x) = (3x + 5) / 8. This guide provides a step-by-step solution, showing calculations for various values of x, suitable for students in Grades 6-8.

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