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To determine the intervals on which the function is increasing from the graph you provided, I'll analyze the sections of the graph where the function values rise as the \(x\)-values increase from left to right.

From the graph, the function is increasing in these intervals:
- From approximately \(x = -10\) to \(x = -8\)
- From approximately \(x = -3\) to \(x = -1\)
- From approximately \(x = 2\) to \(x = 4\)
- From approximately \(x = 7\) to \(x = 10\)

Using interval notation:
- \((-10, -8)\)
- \((-3, -1)\)
- \((2, 4)\)
- \((7, 10)\)

Would you like any additional details on how these intervals were determined or help with another part of the graph? Here are some additional topics we could explore:
1. How to determine when a function is decreasing.
2. How to identify local maxima and minima from a graph.
3. The concept of concavity and points of inflection.
4. How to sketch a derivative based on the graph of a function.
5. The importance of scale and accuracy in reading graphs.

**Tip:** When identifying intervals of increase or decrease from a graph, look for the direction of the y-values as x increases; an upward trend indicates increasing intervals.

List the interval(s) on which f is increasing.

Learn how to determine the intervals on which a function is increasing by analyzing its graph. This problem explores key calculus concepts and provides a step-by-step solution suitable for high school students in Grades 9-12.

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