Which of the following is true of f(x) = – x 2 ⁄ 2 ?

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Accepted Answer

The domain of the function is all real numbers; any real number can be substituted for x. There are no x values that can make the function undefined. The range of a function is the set of all possible outputs of the function. Since the x term is squared, then made negative, the largest value that this term can equal is 0 (when x = 0). Every other x value will result in a negative value for f(x). The range of f(x) is all real numbers less than or equal to 0.

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