Final answer:
The range of the function y = -x^2 + 1 is y ≤ 1.
Step-by-step explanation:
The range of a function represents the set of possible outputs or y-values of the function. To find the range of the function y = -x^2 + 1, we need to determine how the parabola opens and the highest or lowest point it reaches. Since the coefficient of x^2 is negative, the parabola opens downward, and the highest point it reaches is the vertex. In this case, the vertex is (0, 1), so the range of the function is y ≤ 1.
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