Let’s analyze the graph and solve the given question.

Step 1: Identify the x-intercepts

The x-intercepts are the points where the graph crosses the x-axis ($y = 0$).

From the graph, the function intersects the x-axis at $x = -2$ and $x = 3$. Thus:

• x-intercepts: $-2$ and $3$.

Step 2: Identify the y-intercepts

The y-intercept is the point where the graph crosses the y-axis ($x = 0$).

From the graph, the function intersects the y-axis at $y = 2$. Thus:

• y-intercept: $2$.

Final Answer:

• $x$-intercepts: $-2$, $3$ (check both).
• $y$-intercept: $2$ (check this option).

Would you like more details on how intercepts are calculated or explanations on graphing rational functions?

Questions to Explore Further:

1. What are vertical and horizontal asymptotes, and how do they affect the graph?
2. How would you write the equation of this rational function based on the graph?
3. What is the significance of the function having no holes?
4. How can you verify the intercepts algebraically if the equation is given?
5. What happens to the graph's behavior as $x$ approaches infinity or negative infinity?

Tip:

When analyzing graphs of rational functions, always check for asymptotes, intercepts, and continuity to understand the overall behavior of the function.