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The function rule given is \( y = 2x + 4 \). To fill in the table, we can substitute each \( x \)-value into the equation to find the corresponding \( y \)-value.

Let's go through each value:

1. **For \( x = -4 \):**
   \[
   y = 2(-4) + 4 = -8 + 4 = -4
   \]

2. **For \( x = -2 \):**
   \[
   y = 2(-2) + 4 = -4 + 4 = 0
   \]

3. **For \( x = 0 \):**
   \[
   y = 2(0) + 4 = 0 + 4 = 4
   \]

4. **For \( x = 2 \):**
   \[
   y = 2(2) + 4 = 4 + 4 = 8
   \]

So, the completed table is:

\[
\begin{array}{|c|c|}
\hline
x & y \\
\hline
-4 & -4 \\
-2 & 0 \\
0 & 4 \\
2 & 8 \\
\hline
\end{array}
\]

Would you like more details on this process, or do you have any questions?

### Further Questions
1. What is the general process for evaluating function rules?
2. How would the table change if the function were \( y = 3x + 1 \)?
3. Can we create a graph for these values, and what would it look like?
4. How does changing the coefficient of \( x \) affect the slope of the line?
5. What is the significance of the number added to \( 2x \) in the function?

### Tip
When working with function rules, always substitute the \( x \)-values carefully and check your arithmetic to avoid errors in calculations.

Fill in the table using the function rule: y = 2x + 4

Learn how to complete a function table using the linear equation y = 2x + 4. Substitute x-values into the function to find corresponding y-values. This problem is suitable for students in grades 6-8 and covers basic algebraic concepts.

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