The entire graph of the function 

*f*

 is shown in the figure below.
Write the domain and range of 

*f*

 using interval notation.

To determine the domain and range of the function \( f \) from the graph, we need to analyze the graph's extent along the x-axis (domain) and y-axis (range). Since I don't have the exact graph details, I'll guide you on how to identify the domain and range based on typical graphs.

### Domain:
The domain of a function consists of all possible input values (x-values) for which the function is defined. To find this:
- Look at the leftmost and rightmost points on the graph.
- Determine the x-values corresponding to these points.

### Range:
The range of a function consists of all possible output values (y-values) that the function can produce. To find this:
- Look at the lowest and highest points on the graph.
- Determine the y-values corresponding to these points.

### Example Analysis:
If the graph starts at \( x = a \) and ends at \( x = b \), then:
- **Domain**: The interval would be \( [a, b] \), or possibly \( (a, b) \) if the endpoints are not included.
  
If the graph's lowest point is at \( y = c \) and the highest point is at \( y = d \), then:
- **Range**: The interval would be \( [c, d] \), or possibly \( (c, d) \) if the endpoints are not included.

### Specifics:
- If the graph shows that the function is defined for all x-values from \( a \) to \( b \) without any gaps or undefined regions, the domain is \( [a, b] \).
- Similarly, if the graph reaches from \( y = c \) to \( y = d \), the range is \( [c, d] \).

**Would you like to describe the graph further, or provide any specific x and y values from the graph, so I can give you a more precise answer?**

Do you want details or have any questions? Here are 5 related questions that might help:

1. What are the specific endpoints (if any) of the graph on the x-axis and y-axis?
2. Are there any points on the graph where the function is not defined (such as vertical asymptotes)?
3. Does the graph have any horizontal asymptotes that would affect the range?
4. Is the function continuous across its domain, or are there any gaps or jumps?
5. Does the graph represent a well-known function type (e.g., quadratic, cubic, logarithmic)?

**Tip:** When writing the domain and range, use square brackets [ ] for values that are included and parentheses ( ) for values that are not included.

Explore how to determine the domain and range of a function from its graph. Learn step-by-step methods to analyze graph endpoints and identify domain and range intervals. Suitable for high school students studying functions and graph analysis.

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