https://file.aiquickdraw.com/mathbot/file/17274038490169az57kg7.jpg

Identify the domain and range in both interval and set notation.


The graph you've uploaded shows a V-shaped function. This is most likely an absolute value function, and we can analyze the domain and range based on its behavior.

### **Domain**:
- The graph extends horizontally from \(-3\) to \(5\) on the x-axis. 
- In **interval notation**, the domain is:
  \[
  [-3, 5]
  \]
- In **set notation**, the domain is:
  \[
  \{x \mid -3 \leq x \leq 5 \}
  \]

### **Range**:
- The graph extends vertically from \(y = 0\) to \(y = 5\).
- In **interval notation**, the range is:
  \[
  [0, 5]
  \]
- In **set notation**, the range is:
  \[
  \{y \mid 0 \leq y \leq 5 \}
  \]

Would you like more details or have any further questions?

### Related questions:
1. What is the equation of this absolute value function?
2. How do you find the vertex of the graph of an absolute value function?
3. How would the domain and range change if the graph extended infinitely in either direction?
4. What transformations could be applied to the absolute value function to change its shape?
5. How do we describe this function in piecewise form?

### Tip:
When analyzing graphs, always look at the x-values for the domain and the y-values for the range, noting any minimums or maximums.

Identify the domain and range in both interval and set notation.

Understand how to identify the domain and range of an absolute value function in both interval and set notation. This solution includes a detailed analysis of the graph, which extends from x = -3 to x = 5, and y-values ranging from 0 to 5. Suitable for students in Grades 9-10.

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