https://file.aiquickdraw.com/mathbot/file/1726630826292yupeviy0.jpg

Let's analyze the graph to answer the questions:

1. **Evaluating \( k(3) \)**:  
   We need to find the value of the function \( k(x) \) when \( x = 3 \). Looking at the graph, find the point where \( x = 3 \) and observe the corresponding \( y \)-value. The graph shows that when \( x = 3 \), \( k(3) = 4 \).

2. **Finding the value of \( x \) when \( k(x) = 3 \)**:  
   Here, we need to find where the graph reaches a height of 3 (i.e., \( y = 3 \)) and identify the corresponding \( x \)-value(s). From the graph, it appears that \( k(x) = 3 \) when \( x = 0 \).

### Final Answers:
- \( k(3) = 4 \)
- \( x = 0 \) when \( k(x) = 3 \)

Would you like further details on how these values are found or have any other questions?

Here are five related questions to further explore the topic:
1. What is the value of \( k(-2) \) using the graph?
2. Does \( k(x) \) ever equal 5, and if so, for what \( x \)?
3. What is the slope of the function \( k(x) \) based on the graph?
4. Can you identify an approximate equation of the line from the graph?
5. What are the domain and range of the function \( k(x) \)?

**Tip:** When reading a graph, always align \( x \)-coordinates with their corresponding \( y \)-coordinates to evaluate the function values properly.

The graph of the function k(x) is shown. Use the graph to answer the following questions:
1. Evaluate k(3)
2. For what value(s) of x does k(x) = 3?

Learn how to evaluate function values using a graph. In this example, we find k(3) and determine when k(x) equals 3. Suitable for Grades 6-8, this problem helps students practice function analysis and graph reading skills.

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