Looking at the graph you uploaded, we can identify the intervals where the function is increasing, decreasing, or constant based on its shape:

1. Increasing: From the left side to the vertex of the parabola (where the slope is positive). Based on the graph, it seems to increase as $x$ approaches the vertex from the left. The interval for this is $(-\infty, 0)$ where the function is increasing.

2. Decreasing: From the vertex of the parabola to the right side, where the slope becomes negative. The interval for this is $(0, \infty)$ where the function is decreasing.

3. Constant: There is no section where the function is constant in this graph.

Thus:

• Increasing: $(-\infty, 0)$
• Decreasing: $(0, \infty)$
• Constant: No intervals.

If you need more details or have any questions about how these intervals were determined, feel free to ask!

Here are 5 related questions to further explore:

1. How do you determine the increasing and decreasing intervals of a function using its derivative?
2. What are the different types of critical points in a function's graph?
3. How do you identify local maxima and minima from a graph?
4. What is the relationship between concavity and intervals where a function is increasing or decreasing?
5. How do you use interval notation to represent a set of real numbers?

Tip: To determine increasing and decreasing intervals without the graph, find the derivative of the function and analyze the sign of the derivative on different intervals!