https://file.aiquickdraw.com/mathbot/file/17283753984488czzv7ny.jpg

The image shows the function \( f(x) = x^2 + x \), defined over the interval \( -\pi \leq x \leq \pi \).

Would you like help with analyzing or solving something specific about this function, such as finding its maximum, minimum, or behavior on this interval?

Here are some directions you could explore:

1. Find the critical points of \( f(x) \) on the interval \( -\pi \leq x \leq \pi \).
2. Determine the global maximum and minimum of \( f(x) \) in this interval.
3. Analyze the increasing and decreasing intervals of the function.
4. Investigate the concavity and inflection points.
5. Sketch the graph of \( f(x) \) over the given domain.

**Tip:** To find critical points, take the derivative of \( f(x) \) and set it equal to zero.

Explore the quadratic function f(x) = x^2 + x over the interval -π ≤ x ≤ π. Learn how to find the critical points, global maximum, and minimum values, and analyze the function's behavior using derivatives. Suitable for high school students studying advanced algebra or calculus.

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