To determine the domain and range of the function from the graph, I'll help you analyze the key points.

• Domain: The domain represents the possible values for $x$ (horizontal axis). Look for the minimum and maximum $x$-values where there are points plotted.

• Range: The range represents the possible values for $y$ (vertical axis). Check the lowest and highest $y$-values for the points.

Let’s analyze the graph in the image:

1. The points on the graph extend horizontally from around $x = 2$ to $x = 12$.
2. Vertically, the points appear to range from $y = 0$ to $y = 4$.

Conclusion:

• Domain: $[2, 12]$ (the values of $x$ where there are points on the graph).
• Range: $[0, 4]$ (the values of $y$ where there are points on the graph).

Would you like a more detailed explanation on how to find domain and range from a graph? Or is there anything else you'd like to explore?

Questions:

1. How do you find the domain and range from a graph?
2. How does the graph of a function differ from the graph of a relation?
3. What is the importance of identifying the domain and range in real-world applications?
4. How can you use a graphing calculator to analyze the domain and range?
5. How would domain and range change if the function were shifted vertically or horizontally?

Tip:

Remember, the domain and range are simply the set of values that the function takes. For a more precise answer, always check the exact values of the plotted points on the graph.