https://file.aiquickdraw.com/mathbot/file/17288439452070ujik5nw.jpg

From the image, the problem asks to determine the intervals where the given function is strictly increasing. The graph shows that the function rises in two distinct sections:

1. The first increasing interval occurs from \(x = 0\) to \(x = 2\).
2. The second increasing interval occurs from \(x = 3\) to \(x = 5\).

So, the function is strictly increasing on the intervals \((0, 2)\) and \((3, 5)\).

Your final answer should be written as:
\[
(0, 2), (3, 5)
\]

Let me know if you'd like further clarification or have any questions.

Here are some related questions:
1. What is the difference between strictly increasing and non-decreasing functions?
2. How do you identify decreasing intervals on a graph?
3. Can a function be increasing and decreasing on the same interval?
4. How would the graph look if the function was constant on certain intervals?
5. How do you write intervals in set notation versus interval notation?

**Tip:** When identifying increasing intervals, focus on where the slope of the graph is positive (moving upward from left to right).

Determine the interval(s) on which the function is strictly increasing.

Learn how to identify intervals of strictly increasing functions by analyzing a graph. This problem focuses on graphing concepts and understanding the behavior of functions over specific intervals. Suitable for students in Grades 8-10.

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