-3<x<2

x>-3 and x<-0.5

x<-3 and x>-0.5

x>5

Given these new options, let's analyze the intervals where the function is decreasing.

Looking at the graph:

1. The function decreases from \( x = -3 \) to \( x = -0.5 \).
2. The function then decreases again from \( x = 3 \) to \( x = 5 \).

Thus, the correct intervals where the function is decreasing match the second option:

- **\(x > -3\) and \(x < -0.5\)**

Would you like any further explanation?

Here are some related questions you might consider:
1. How can we use derivatives to confirm where a function is increasing or decreasing?
2. What are the critical points, and how do they relate to increasing/decreasing intervals?
3. Can you determine concavity from the graph of a function?
4. What is the significance of inflection points in the behavior of a function?
5. How can you identify points of inflection from the first derivative?

**Tip:** When determining where a function is decreasing, always consider the behavior of the function as it moves from left to right across the x-axis.

Explore how to analyze inequalities involving x values within specific intervals. Understand the conditions under which x is greater than -3 and less than -0.5, and how to determine such intervals on a graph. Suitable for high school students studying inequalities in mathematics.

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