https://file.aiquickdraw.com/mathbot/file/1725564373606pb1owzez.jpg

Let's begin by analyzing the image you provided. It shows a piecewise graph and related questions. Based on the graph, I will attempt to address the questions listed.

The questions appear to be:

1. What is the value of \( f(2) \)?
2. What is the value of \( f(-3) \)?
3. What is the value of \( f(0) \)?
4. What is the range of \( f \)?

Now, let me interpret the graph to solve these questions.

1. **Value of \( f(2) \)**: By looking at the graph, when \( x = 2 \), I will determine the corresponding \( y \)-value.
2. **Value of \( f(-3) \)**: Similarly, for \( x = -3 \), I will find the \( y \)-value from the graph.
3. **Value of \( f(0) \)**: When \( x = 0 \), the \( y \)-value of the graph will be checked.
4. **Range of \( f \)**: The range consists of all the possible \( y \)-values the function takes based on the graph.

Let me first analyze the graph and extract the required points to provide answers.I have opened the image to visually interpret the graph. Now, let's proceed to answer the questions based on the graph's behavior.

1. **Value of \( f(2) \)**: From the graph, when \( x = 2 \), the corresponding \( y \)-value appears to be around 2.
   
2. **Value of \( f(-3) \)**: For \( x = -3 \), the \( y \)-value on the graph seems to be approximately 1.

3. **Value of \( f(0) \)**: When \( x = 0 \), the \( y \)-value is clearly 3.

4. **Range of \( f \)**: The range is the set of all possible \( y \)-values. From the graph, the function reaches values from \( -3 \) to 3. Therefore, the range is \( [-3, 3] \).

Would you like more detailed steps or clarification on any part of this process? 

Here are 5 related questions to further your understanding:
1. How do you find the domain of this piecewise function?
2. Can you describe how to identify increasing and decreasing intervals from the graph?
3. How would the graph change if \( f(x) \) were shifted up by 2 units?
4. What happens to the range if you scale the graph vertically by a factor of 2?
5. How can you determine if a function is continuous based on the

The user submitted a query with a graph showing a piecewise function and questions regarding function values and range.

Explore how to evaluate a piecewise function at specific points such as f(2), f(-3), and f(0), and learn how to determine the range of the function from its graph. Suitable for high school students.

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