Let's create a table for the function $f(x) = 8x - 3$ by choosing a few values of $x$, calculating $f(x)$ for each, and then recording the results.

Table of values for $f(x) = 8x - 3$

$x$	$f(x) = 8x - 3$
-2	$8(-2) - 3 = -16 - 3 = -19$
-1	$8(-1) - 3 = -8 - 3 = -11$
0	$8(0) - 3 = 0 - 3 = -3$
1	$8(1) - 3 = 8 - 3 = 5$
2	$8(2) - 3 = 16 - 3 = 13$

Summary of Values:

• When $x = -2$, $f(x) = -19$
• When $x = -1$, $f(x) = -11$
• When $x = 0$, $f(x) = -3$
• When $x = 1$, $f(x) = 5$
• When $x = 2$, $f(x) = 13$

Would you like more details or have any specific questions?

Here are five related questions to deepen your understanding:

1. What is the slope of the linear function $f(x) = 8x - 3$?
2. What is the y-intercept of the function $f(x) = 8x - 3$?
3. How would the graph of $f(x) = 8x - 3$ look like?
4. How does the function $f(x)$ behave as $x \to \infty$?
5. How would the function change if the equation was $f(x) = 8x + 3$?

Tip: For linear functions like $f(x) = 8x - 3$, the coefficient of $x$ is the slope, which tells you how steep the line is.