To find the intercepts from the graph provided, we need to identify the points where the graph intersects the x-axis and y-axis.

X-Intercepts:

The x-intercepts are the points where the graph crosses the x-axis. At these points, the y-coordinate is 0.

From the graph:

• The graph intersects the x-axis at $x = -5$, $x = -2$, and $x = 3$.

Thus, the x-intercepts as ordered pairs are: $(-5, 0), (-2, 0), (3, 0)$

Y-Intercept:

The y-intercept is the point where the graph crosses the y-axis. At this point, the x-coordinate is 0.

From the graph:

• The graph intersects the y-axis at $y = 4$.

Thus, the y-intercept as an ordered pair is: $(0, 4)$

Summary of Intercepts as Ordered Pairs:

• X-intercepts: $(-5, 0)$, $(-2, 0)$, $(3, 0)$
• Y-intercept: $(0, 4)$

Would you like further details on how to find intercepts or anything else related to this problem?

Here are 5 related questions to deepen your understanding:

1. How can you determine the equation of the function based on the given intercepts?
2. What does the number of x-intercepts tell you about the degree of the polynomial?
3. How does the behavior of the graph near the intercepts give insight into the function's factors?
4. Can a function have more than one y-intercept? Why or why not?
5. How would the graph change if the y-intercept were at a different point?

Tip: When analyzing graphs, always check the intercepts and critical points first. These give you key information about the function's behavior.