To solve the inequality $f(x) > 0$ using the given graph, we need to identify the intervals where the function's output is positive, meaning the graph is above the x-axis.

Based on the points plotted on the graph:

1. The point $(-3, 4)$ indicates $f(-3) = 4$, which is positive.
2. The point $(-2, 2)$ indicates $f(-2) = 2$, which is positive.
3. The point $(2, 3)$ indicates $f(2) = 3$, which is positive.
4. The point $(3, 2)$ indicates $f(3) = 2$, which is positive.

The other points indicate values where $f(x) \leq 0$.

Now, we determine the intervals:

• From the points, we see that the function is above the x-axis from $x = -3$ to $x = -2$ and from $x = 2$ to $x = 3$.

Therefore, the solution to the inequality $f(x) > 0$ is:

$(-3, -2) \cup (2, 3)$

Would you like more details or have any questions about this solution?

Here are five related questions you might consider:

1. How can you determine if a function is positive using its graph?
2. What does it mean when a function is below the x-axis?
3. How would you solve the inequality $f(x) < 0$ for the same function?
4. What does the point $(0, -1)$ tell you about the function's value at $x = 0$?
5. How can you find where $f(x) = 0$ using the graph?

Tip: When working with inequalities involving functions, always pay attention to the intervals where the function changes sign, as these are crucial for determining where the function is positive or negative.