The second option is correct: (-∞, 4].
Given the function, f(x) =- x^2 + 4, where its vertex, (0, 4) is the maximum point:
Since the parabola opens downward (due to the negative coefficient of -x^2), then it means that its possible range values must be at most 4, and it continues toward negative infinity.
Therefore, the correct answer is option2: (-∞, 4].
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