https://file.aiquickdraw.com/mathbot/file/1726915928490c1cnfzew.jpg

Let's analyze the graph and answer the questions based on it:

### 1. **Domain (Dominio):**  
The domain is the set of all possible input values (x-values) for which the function is defined. Looking at the graph, the function exists between \( x = -4 \) and \( x = 4 \).

- **Domain:** \[ -4, 4 \]

### 2. **Range (Rango):**  
The range is the set of all possible output values (y-values) the function can take. From the graph, the y-values range from \(-2\) to \(2\).

- **Range:** \[ -2, 2 \]

### 3. **Evaluating function at specific points:**
   - \( f(0) \): At \( x = 0 \), the graph shows \( y = 0 \).
     - \( f(0) = 0 \)
   - \( f(-2) \): At \( x = -2 \), the graph shows \( y = 2 \).
     - \( f(-2) = 2 \)
   - \( f(4) \): At \( x = 4 \), the graph shows \( y = -2 \).
     - \( f(4) = -2 \)

### 4. **x-intercepts (Intersección en el eje x):**  
The x-intercept occurs where the graph crosses the x-axis (where \( y = 0 \)). From the graph, the x-axis is crossed at \( x = 0 \).

- **x-intercept:** \( x = 0 \)

### 5. **y-intercepts (Intersección en el eje y):**  
The y-intercept is where the graph crosses the y-axis (where \( x = 0 \)). From the graph, this happens at \( y = 0 \).

- **y-intercept:** \( y = 0 \)

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Let me know if you'd like any clarifications on this! Here are some additional questions you can think about:

1. How would the domain change if the graph extended beyond \( x = 4 \)?
2. How do you interpret a function with no x-intercepts or y-intercepts?
3. Can a function have more than one x-intercept or y-intercept?
4. What kind of function do you think this graph represents (e.g., piecewise, linear, etc.)?
5. How would the range change if the graph extended vertically?

**Tip:** Always check the endpoints of a graph carefully when determining the domain and range, as these points define where the function begins and ends.

Using the graph of the function f provided, determine the domain, range, f(0), f(-2), f(4), x-intercept, and y-intercept.

Learn how to analyze a function graph by determining the domain, range, f(0), f(-2), f(4), and the x and y intercepts. This example uses a piecewise function and is suitable for students in Grades 9-12.

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