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In this image, you are asked to complete the tables and graphs for four functions \( f_1, f_2, f_3, f_4 \). The function \( f_4 \) is already defined as \( f_4(x) = 3 \).

### Steps to Complete the Table and Graphs:

1. **Function \( f_1 \):**
   - **Equation**: \( f_1(x) = 0.5x - 3 \).
   - **Table Calculation**: Substitute the given \( x \)-values into the equation to find the corresponding \( y \)-values.
     - For \( x = -3 \): \( y = 0.5(-3) - 3 = -4.5 \).
     - For \( x = 0 \): \( y = 0.5(0) - 3 = -3 \).
     - For \( x = 2 \): \( y = 0.5(2) - 3 = -2 \).

2. **Function \( f_2 \):**
   - **Equation**: \( f_2(x) \) is missing in the table. We need to fill it in. If we assume a linear function \( f_2(x) = ax + b \), we use the given points to find \( a \) and \( b \).
   - Using \( x = -2.5 \), we have \( y = -3 \), which gives \( -2.5a + b = -3 \).
   - Using \( x = 0.5 \), we have \( y = -0.5 \), giving \( 0.5a + b = -0.5 \).

3. **Function \( f_3 \):**
   - **Equation**: \( f_3(x) = ax + b \) is also to be determined using the provided points.
   - With \( x = -3.5, y = -8.5 \): \(-3.5a + b = -8.5\).
   - With \( x = 0, y = 2\): \( b = 2 \).

4. **Function \( f_4 \):**
   - The function is already given as \( f_4(x) = 3 \). Complete the table and graph based on this constant function.

### Filled Table Based on Provided Information:

- **\( f_1 \)**:
  | x-Wert | y-Wert |
  |--------|--------|
  | -3     | -4.5   |
  | 0      | -3     |
  | 2      | -2     |

- **\( f_2 \)** (need to calculate \( a, b \)):
  | x-Wert | y-Wert |
  |--------|--------|
  | -2.5   | -3     |
  | 0.5    | -0.5   |
  | 3      |        |

- **\( f_3 \)** (need to calculate \( a, b \)):
  | x-Wert | y-Wert |
  |--------|--------|
  | -3.5   | -8.5   |
  | 0      | 2      |
  | 5      | 10     |

- **\( f_4 \)**:
  | x-Wert | y-Wert |
  |--------|--------|
  | -1     | 3      |
  | 0      | 3      |
  | 4      | 3      |

Let me know if you'd like detailed explanations or solutions for any specific function. Here are some related questions for further practice:

1. How would you determine the slope and intercept for the linear function \( f_2 \)?
2. What is the graph of a constant function like \( f_4(x) = 3 \)?
3. How do you interpret the slope of \( f_1(x) = 0.5x - 3 \) in practical terms?
4. How would you find the equation of a linear function given two points?
5. How can you verify your calculated values by graphing?

**Tip**: Always check your calculated values by plotting them on the graph to ensure accuracy.

This guide provides detailed steps to complete the tables and graphs for linear and constant functions including f1(x) = 0.5x - 3. Learn how to calculate the y-values by substituting x-values into the equations, solve systems of linear equations, and graph the functions to ensure accuracy.

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