If f(x) is a linear function and the domain of f(x) is the set of all real numbers, which statement cannot be true?

A linear function has the form f(x) = mx + b. If m is nonzero, its graph crosses the x-axis once; if m = 0, it is a constant function, which has either no x-intercepts or infinitely many when it is zero everywhere. Thus, a linear function cannot have exactly two x-intercepts, so the statement that cannot be true is “The graph of f(x) has exactly two x-intercepts.”

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