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The given function is:

\[
f(x) = x^2 + x
\]

with the constraint:

\[
-\pi \leq x \leq \pi
\]

Would you like me to find the properties of this function, such as its critical points, behavior within the interval \([-π, π]\), or any other specific detail?

### Here are some questions to explore:
1. What is the derivative of \(f(x)\) and where are the critical points?
2. What are the maximum and minimum values of \(f(x)\) in the interval \([-π, π]\)?
3. How does the graph of \(f(x)\) look over the interval \([-π, π]\)?
4. Is the function \(f(x)\) increasing or decreasing within this interval?
5. What is the concavity of the function, and where does it change?

**Tip:** Always check the critical points and endpoints when analyzing the behavior of a function within a closed interval.

Given the function f(x) = x^2 + x within the domain -π ≤ x ≤ π, analyze its properties.

Explore the properties of the quadratic function f(x) = x^2 + x in the interval -π to π. Learn about critical points, concavity, and extrema with this high school-level math problem.

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