To determine the x-intercepts and y-intercept of the given graph:

X-Intercepts:

The x-intercepts are the points where the graph crosses the x-axis. These occur when $y = 0$.

From the graph:

• The x-intercepts appear to be at $x = -4$, $x = -2$, and $x = 2$.

Y-Intercept:

The y-intercept is the point where the graph crosses the y-axis. This occurs when $x = 0$.

From the graph:

• The y-intercept is at $y = 4$.

Summary:

• X-intercepts: $x = -4$, $x = -2$, and $x = 2$
• Y-intercept: $y = 4$

Would you like more details or have any further questions?

Here are some related questions you might find interesting:

1. How can we determine the x-intercepts algebraically if we have the equation of the graph?
2. What is the significance of the y-intercept in real-world applications?
3. How does the multiplicity of a root affect the graph's behavior at an x-intercept?
4. How can you find the equation of a graph given its intercepts?
5. How do the x-intercepts and y-intercepts relate to the overall shape of the graph?

Tip: When analyzing graphs, always check where the graph crosses the axes for intercepts. This gives important information about the roots and the initial value of the function.