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) the graph of f(x) has zero x-intercepts.
b) the graph of f(x) has exactly one x-intercept.
c) the graph of f(x) has exactly two x-intercepts.
d) the graph of f(x) has infinitely many x-intercepts.

Afunction is said to be a linear function if the graph of the function is a straight line. the graph of a linear function usually have a y-intercept and an x-intercept. the graph of f(x) can have zero x-intercept when the straigh line is a horizontal line other than the x-axis. the graph of f(x) can have one x-intercept, for non-horizontal lines. the graph of f(x) cannot have exactly two x-intercepts. the graph of f(x) can have infinitely many x-intercepts when the straight line coincides with the x-axis. therefore, if f(x) is a linear function and the domain of f(x) is the set of all real numbers, the statement that cannot be true is "the graph of f(x) has exactly two x-intercepts."

That is the answer to your question

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