The graph shown seems to represent a function with both positive and negative values. To determine when the graph is positive, we need to look for intervals where the graph is above the x-axis (the horizontal axis).

Analysis:

• The graph crosses the x-axis at several points: approximately at $x = -4$, $x = -1$, and $x = 1$, and $x = 3$.
• The graph is above the x-axis between $x = -4$ and $x = -1$, and again between $x = 1$ and $x = 3$.

Positive Intervals:

The function is positive in the following intervals:

• From $x = -4$ to $x = -1$.
• From $x = 1$ to $x = 3$.

Thus, the correct answer would be $\boxed{[-4, -1] \cup [1, 3]}$.

Do you need further details or clarification?

Here are five related questions:

1. What does it mean for a graph to be negative?
2. How can we determine where the graph crosses the x-axis?
3. How can you find intervals where a function is decreasing?
4. What are the critical points of a function?
5. How do we describe the behavior of a function as it approaches infinity?

Tip: Always pay attention to where the graph intersects the x-axis to determine when the function changes its sign.