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Question: A climate scientist analyzes urban heat island effects using a function $ g(x) = \sqrt{4 - x^2} $. Find the range of $ g(x) $ for real $ x $ where the expression is defined.
Solution: The expression under the square root must satisfy $ 4 - x^2 \geq 0 $, so $ x \in [-2, 2] $. The maximum value of $ \sqrt{4 - x^2} $ is $ 2 $ (at $ x = 0 $), and the minimum is $ 0 $ (at $ x = \pm 2 $). The range is $ \boxed{[0, 2]} $.<think>
Okay, the user wants me to generate Precalculus questions similar to the provided fragments but with different content. They mentioned using personas from niche research areas in entomology and climatology. Let me think about how to integrate those.

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