https://file.aiquickdraw.com/mathbot/file/17264501409927t7y6vwv.jpg

The graph shows a piecewise linear function with two distinct intercepts to identify: the **x-intercepts** (where the graph crosses the x-axis) and the **y-intercept** (where it crosses the y-axis).

From the graph:

1. **X-intercepts**: The graph crosses the x-axis at the points where \( y = 0 \).
   - The graph intersects the x-axis at \( (-6, 0) \) and \( (0, 0) \).
   
2. **Y-intercept**: The graph crosses the y-axis at the point where \( x = 0 \).
   - The y-intercept is also at \( (0, 0) \).

Thus, the intercepts are:
- **X-intercepts**: \( (-6, 0) \), \( (0, 0) \)
- **Y-intercept**: \( (0, 0) \)

Would you like more details or any further explanations?

Here are 5 related questions to deepen your understanding:
1. How do you calculate intercepts for more complex functions?
2. Can a graph have more than one y-intercept?
3. What does it mean if a function has no x-intercept?
4. How do slope and intercepts relate in linear functions?
5. What is the significance of intercepts in real-world applications?

**Tip**: When identifying intercepts, remember that x-intercepts are where \( y = 0 \), and the y-intercept is where \( x = 0 \).

Identify the intercepts of the graph. X-intercepts (write answers as ordered pairs), Y-intercept (write answer as an ordered pair).

This page explains how to find the X and Y intercepts of a linear graph. Learn how to identify intercepts where y = 0 and x = 0 with an example of a line crossing at (-6, 0) and (0, 0). Suitable for Grade 7-9 students.

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