Complete the table.

*f*(*x*) = –2*x* − 4

*x*

*f*(*x*)

0

1

2

3

To complete the table for the function \( f(x) = -2x - 4 \), let's calculate \( f(x) \) for each given value of \( x \).

\[
f(x) = -2x - 4
\]

1. **For \( x = 0 \):**
   \[
   f(0) = -2(0) - 4 = 0 - 4 = -4
   \]

2. **For \( x = 1 \):**
   \[
   f(1) = -2(1) - 4 = -2 - 4 = -6
   \]

3. **For \( x = 2 \):**
   \[
   f(2) = -2(2) - 4 = -4 - 4 = -8
   \]

4. **For \( x = 3 \):**
   \[
   f(3) = -2(3) - 4 = -6 - 4 = -10
   \]

The completed table is:

\[
\begin{array}{|c|c|}
\hline
x & f(x) \\
\hline
0 & -4 \\
1 & -6 \\
2 & -8 \\
3 & -10 \\
\hline
\end{array}
\]

Would you like a detailed explanation of how each value was calculated or have any other questions?

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Here are five related questions for further practice:

1. What would be the value of \( f(x) \) if \( x = -1 \)?
2. How does the function \( f(x) = -2x - 4 \) behave as \( x \) increases?
3. Determine the x-intercept of the function \( f(x) = -2x - 4 \).
4. What is the slope of the function \( f(x) = -2x - 4 \)?
5. How does the graph of \( f(x) = -2x - 4 \) compare to the graph of \( f(x) = -2x + 4 \)?

**Tip:** When working with linear functions, the coefficient of \( x \) represents the slope, which tells you how steep the line is.

Complete the table.
f(x) = –2x − 4
x
f(x)
0
1
2
3

Learn how to complete the table for the linear function f(x) = -2x - 4. This problem covers key algebraic concepts, including the calculation of function values and understanding the behavior of linear functions. Suitable for students in Grades 6-8.

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