The given function is $F(x) = x + 2$.

Let's complete the table by calculating $F(x)$ for each given $x$ value.

Table completion:

We compute $F(x)$ for the values of $x = -2, -1, 2, 7, 14, 23$.

$F(x) = x + 2$

1. For $x = -2$: $F(-2) = -2 + 2 = 0$

2. For $x = -1$: $F(-1) = -1 + 2 = 1$

3. For $x = 2$: $F(2) = 2 + 2 = 4$

4. For $x = 7$: $F(7) = 7 + 2 = 9$

5. For $x = 14$: $F(14) = 14 + 2 = 16$

6. For $x = 23$: $F(23) = 23 + 2 = 25$

Completed table:

\hline x & F(x) \\ \hline -2 & 0 \\ -1 & 1 \\ 2 & 4 \\ 7 & 9 \\ 14 & 16 \\ 23 & 25 \\ \hline \end{array}$$ ### Graphing the function: This is a linear function, $$F(x) = x + 2$$, with a slope of 1 and a y-intercept of 2. Plot the points $$(-2, 0)$$, $$(-1, 1)$$, $$(2, 4)$$, $$(7, 9)$$, $$(14, 16)$$, and $$(23, 25)$$ on the graph, then draw a straight line through them. --- Do you want a graph generated for this, or do you have any questions on how to plot it? --- Here are 5 relative questions: 1. How do you find the slope of a linear function? 2. What is the significance of the y-intercept in a function? 3. How would you graph a non-linear function, like a quadratic? 4. What happens to the graph of $$F(x)$$ if we add or subtract from the equation? 5. How can you determine if a function is increasing or decreasing? **Tip:** Linear functions are always represented by straight lines, and their slope tells us the steepness or direction of the line.