https://file.aiquickdraw.com/mathbot/file/1737142625328xm8d74ec.jpg

The given function \( f(x) = x + 3 \) defines the rule to compute the values of \( f(x) \) for any \( x \). Let's calculate the missing values in the function table:

### Function Table Calculation:
1. When \( x = -4 \):
   \[
   f(-4) = -4 + 3 = -1
   \]

2. When \( x = -3 \):
   \[
   f(-3) = -3 + 3 = 0
   \]

3. When \( x = 0 \):
   \[
   f(0) = 0 + 3 = 3
   \]

4. When \( x = 4 \):
   \[
   f(4) = 4 + 3 = 7
   \]

5. When \( x = 5 \):
   \[
   f(5) = 5 + 3 = 8
   \]

### Completed Table:
\[
\begin{array}{|c|c|}
\hline
x & f(x) \\
\hline
-4 & -1 \\
-3 & 0 \\
0 & 3 \\
4 & 7 \\
5 & 8 \\
\hline
\end{array}
\]

Let me know if you'd like a detailed explanation of each step or have more questions!

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### 5 Related Questions:
1. What is the general procedure for evaluating a linear function like \( f(x) = x + 3 \)?
2. How can you tell if a given function is linear by looking at its table or rule?
3. If the function were \( f(x) = 2x + 1 \), how would the table change?
4. What does the graph of \( f(x) = x + 3 \) look like?
5. How can you calculate \( f(x) \) if the input \( x \) is a fraction or decimal?

### Tip:
Always substitute \( x \) into the function rule carefully and perform arithmetic step-by-step to avoid errors.

Complete the function table for f(x) = x + 3, where the table contains values for x as -4, -3, 0, 4, and 5.

Learn how to complete the function table for the linear function f(x) = x + 3, including calculating values for x = -4, -3, 0, 4, and 5. This exercise covers core algebraic concepts and is ideal for students in Grades 6-8.

Math Problem Statement

Solution

Function Table Calculation:

Completed Table:

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