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.