What is the range of the function f(x) = x 2 – 4?

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The range of a function is the set of all possible outputs of the function. All real numbers can be substituted for x in the function f(x) = x 2 – 4, so the domain of the function is all real numbers. Since the x term is squared, the smallest value that this term can equal is 0 (when x = 0). Therefore, the smallest value that f(x) can have is when x = 0. When x = 0, f(x) = 0 2 – 4 = –4. The range of f(x) is all real numbers greater than or equal to –4.

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