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 $x = 0$.