To solve the problem, we analyze the behavior of the function on the interval $5 < x < 9$ based on the graph provided.

Observations:

1. Interval Behavior:

   • Between $x = 5$ and $x = 9$, the graph starts at a low point (negative $y$-value) at $x = 5$, rises sharply, and curves upward toward $x = 9$.
   • This indicates that the function is increasing and its shape is not linear (it curves).

2. Conclusion:

   • The function on $5 < x < 9$ is increasing and non-linear.

Correct Answer:

• "It is increasing and non-linear."

Let me know if you'd like further clarification or details!

Here are 5 related questions to extend your understanding:

1. What does it mean for a function to be linear versus non-linear?
2. How can you determine whether a function is increasing or decreasing from its graph?
3. What are the properties of increasing functions in terms of their slopes?
4. How would the answer change if the graph was a straight line in this interval?
5. How can you determine concavity (curved upward vs downward) for non-linear functions?

Tip:

When analyzing graphs, pay close attention to the direction (increasing or decreasing) and the shape (linear or curved) of the function within the specified interval.