https://file.aiquickdraw.com/mathbot/file/1733432446771k71a8xre.jpg

Let's analyze the graph and solve the given tasks:

### 1. **Evaluate \( f(4) \):**  
To find \( f(4) \), locate \( x = 4 \) on the graph and identify the corresponding \( y \)-value. Based on the graph, when \( x = 4 \), the value of \( f(x) \) is **1**.  
Thus, \( f(4) = 1 \).

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### 2. **Solve \( f(x) = 4 \):**  
To find the solution to \( f(x) = 4 \), find where the horizontal line \( y = 4 \) intersects the graph. The graph intersects this line at \( x = -1 \).  
Thus, the solution is \( x = -1 \).

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### Final Answers:
- \( f(4) = 1 \).
- The solution to \( f(x) = 4 \) is \( x = -1 \).

Would you like a deeper explanation or any other help?  

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Here are 5 related questions for further understanding:
1. What is the domain of the given function \( f(x) \)?
2. What is the range of the function \( f(x) \)?
3. How would you determine if this function is increasing or decreasing?
4. How do you solve for \( f(x) = 2 \) using the graph?
5. How can we check if this function is one-to-one?

**Tip:** When evaluating functions graphically, always ensure to carefully match the corresponding values on the axes.

The plot below represents the function f(x). Evaluate f(4) and solve f(x) = 4.

Learn how to evaluate f(4) and solve f(x) = 4 using a graphical representation of the function f(x). Understand key concepts of reading values from a graph, suitable for Grades 6-8.

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