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Given the graph of the function, find the specified values. Copy the graph in the picture. 1. f(0) 2. f(-1) 3. f(2) 4. f(-2)

The graph you've provided represents a linear function \( f(x) \). Based on the slope and the points visible on the graph, I can help determine the values of \( f(x) \) for specific inputs.

1. **\( f(0) \):** 
   - This is the value of the function when \( x = 0 \), which corresponds to the y-intercept of the line.
   - From the graph, it appears that the line crosses the y-axis at \( y = 1 \).
   - Therefore, \( f(0) = 1 \).

2. **\( f(-1) \):**
   - To find \( f(-1) \), locate \( x = -1 \) on the x-axis and find the corresponding y-value on the line.
   - From the graph, when \( x = -1 \), \( y = 0 \).
   - Therefore, \( f(-1) = 0 \).

3. **\( f(2) \):**
   - To find \( f(2) \), locate \( x = 2 \) on the x-axis and find the corresponding y-value on the line.
   - From the graph, when \( x = 2 \), \( y = 3 \).
   - Therefore, \( f(2) = 3 \).

4. **\( f(-2) \):**
   - To find \( f(-2) \), locate \( x = -2 \) on the x-axis and find the corresponding y-value on the line.
   - From the graph, when \( x = -2 \), \( y = -1 \).
   - Therefore, \( f(-2) = -1 \).

### Summary:
1. \( f(0) = 1 \)
2. \( f(-1) = 0 \)
3. \( f(2) = 3 \)
4. \( f(-2) = -1 \)

Would you like more details on how to derive these values, or do you have any questions?

Here are some related questions you might consider:
1. What is the slope of the function shown in the graph?
2. Can you derive the equation of the line from the graph?
3. How would you find \( f(x) \) for other values of \( x \) not explicitly asked?
4. How does changing the slope of the line affect the graph and the function's values?
5. What happens to the graph if you change the y-intercept?

**Tip:** For linear functions, identifying the slope and y-intercept allows you to determine the function's equation and predict values for any input \( x \).

Learn how to find specific values of a linear function from its graph, including f(0), f(-1), f(2), and f(-2). This problem involves analyzing the graph of a linear function to determine y-values corresponding to given x-values. Suitable for Grades 7-9.

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