https://file.aiquickdraw.com/mathbot/file/1726610123585f27jnafb.jpg

https://mcpsmd.instructure.com/courses/858059/files/84810239/preview?verifier=jiW8HczO0HMcXefe53s3YtCjVPLLcOl6zZzK65AX  Type "inf" when there is no upper bound.

Type "-inf" when there is no lower bound.

Domain: 
Question Blank 1 of 4
type your answer...
 ≤ x ≤ 
Question Blank 2 of 4
type your answer...

Range: 
Question Blank 3 of 4
type your answer...
 ≤ y ≤ 
Question Blank 4 of 4
type your answer...


The image provided shows the graph of an absolute value function, which forms a "V" shape. The turning point of the graph is at the origin (0, 0). Let's analyze the domain and range of this graph:

### Domain:
The graph stretches horizontally across the entire x-axis. There are no restrictions on the values of \( x \), so the domain is all real numbers.
- **Domain:** \( -\infty \leq x \leq \infty \)

### Range:
The lowest point on the graph is \( y = 0 \), and the graph extends upward indefinitely. Therefore, the range starts at 0 and goes to infinity.
- **Range:** \( 0 \leq y \leq \infty \)

### Final answers for the blanks:
1. Domain: 
   - Blank 1: **"-inf"**
   - Blank 2: **"inf"**
2. Range:
   - Blank 3: **"0"**
   - Blank 4: **"inf"**

Would you like further details on how to analyze such functions?

Here are 5 related questions for further exploration:
1. What is the equation of the absolute value function in this graph?
2. How do you find the vertex of an absolute value function graph?
3. What is the slope of the lines on either side of the vertex?
4. How does the graph of an absolute value function change when the function is shifted horizontally or vertically?
5. Can the range of an absolute value function ever include negative numbers?

**Tip:** The domain of absolute value functions is always all real numbers, but the range is limited by the vertex and direction of the "V" shape.

The graph provided in the image is an absolute value function with a 'V' shape. Determine the domain and range.

Analyze the domain and range of an absolute value function, represented by a 'V' shape. The graph has no restrictions on x, but the y-values start at 0 and extend upwards to infinity. Suitable for students in Grades 7-10.

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