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The task requires filling in the function table based on the equation \( f(x) = 2x - 7 \), and then plotting the points on the graph.

### Step 1: Calculate \( f(x) = 2x - 7 \) for each value of \( x \):
- When \( x = 0 \): \( f(0) = 2(0) - 7 = -7 \)
- When \( x = 1 \): \( f(1) = 2(1) - 7 = -5 \)
- When \( x = 2 \): \( f(2) = 2(2) - 7 = -3 \)
- When \( x = 3 \): \( f(3) = 2(3) - 7 = -1 \)
- When \( x = 4 \): \( f(4) = 2(4) - 7 = 1 \)

### Step 2: The table values are:
| \( x \) | \( f(x) \) |
|--------|------------|
| 0      | -7         |
| 1      | -5         |
| 2      | -3         |
| 3      | -1         |
| 4      | 1          |

### Step 3: Plot these points on the graph:
- Plot (0, -7)
- Plot (1, -5)
- Plot (2, -3)
- Plot (3, -1)
- Plot (4, 1)

This forms a straight line since \( f(x) = 2x - 7 \) is a linear function.

Would you like further clarification on plotting the points or understanding the function? Here are some related questions:

1. What is the slope and y-intercept of the function \( f(x) = 2x - 7 \)?
2. How does changing the slope affect the graph of the line?
3. Can you find the x-intercept of this line?
4. What happens if we change the equation to \( f(x) = -2x + 7 \)?
5. How would you plot points for a quadratic function instead of a linear one?

**Tip**: The slope of a line tells you how steep it is; the larger the slope, the steeper the line.

Complete the function table for the given domain, and plot the points on the graph for f(x) = 2x - 7.

Learn how to graph the linear function f(x) = 2x - 7 by completing a function table for given x-values and plotting the points. This problem is perfect for middle school students and covers key algebraic concepts like linear equations and graphing.

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