The graph of f(x) = –3(x – 1)2 + 4 is shown on the left. Which interval defines the domain of the function?

The function f(x) = –3(x – 1)² + 4 is a quadratic, and squaring and multiplying or adding constants are defined for every real x. Therefore, there are no restrictions on the input values, so the domain is (–∞, ∞), choice C.

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