https://file.aiquickdraw.com/mathbot/file/17282551865895ku7if49.jpg

You are asking which graph is correct for the function \( p(x) = -1 \). 

The function \( p(x) = -1 \) represents a **constant function** where for every value of \( x \), the output \( p(x) \) is always \( -1 \). This will graph as a **horizontal line** across the entire plane at \( y = -1 \).

Let’s analyze the graphs in the image:

1. **Top-left graph**: This is a horizontal line, but it's at \( y = 0 \), so it is not correct for \( p(x) = -1 \).
2. **Top-right graph**: This is a vertical line, so it doesn't represent \( p(x) = -1 \) because a constant function should be horizontal.
3. **Bottom-left graph**: This is a diagonal line, indicating a linear function with a slope, not a constant function.
4. **Bottom-right graph**: This is a horizontal line at \( y = -1 \), which is exactly what we are looking for. 

### Conclusion:
The **bottom-right graph** is the correct graph for \( p(x) = -1 \).

Would you like more details or have any other questions? Here are some related questions:

1. What are the properties of constant functions like \( p(x) = -1 \)?
2. How do you graph other types of constant functions?
3. How would the graph change if the function was \( p(x) = 1 \)?
4. What is the difference between vertical and horizontal lines in graphing?
5. How can you identify the equation of a line from a graph?

**Tip**: A horizontal line equation is always of the form \( y = c \), where \( c \) is a constant.

Discover how to identify the correct graph for the constant function p(x) = -1, represented by a horizontal line at y = -1. This problem involves understanding constant functions and recognizing the properties of linear graphs. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation