https://file.aiquickdraw.com/mathbot/file/1725326175897zh0kcm4a.jpg

From the graph below, write all of the intercepts as ordered pairs 
(
x
1
,
y
1
)
,
(
x
2
,
y
2
)
,
...
:


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.

Discover how to find x-intercepts and y-intercepts from a graph with detailed examples. This problem involves graphing techniques and understanding intercepts, crucial for high school mathematics.

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