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?

The graph of f(x) has zero x-intercepts.
The graph of f(x) has exactly one x-intercept.
The graph of f(x) has exactly two x-intercepts.
The graph of f(x) has infinitely many x-intercepts.

Question

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?

The graph of f(x) has zero x-intercepts.
The graph of f(x) has exactly one x-intercept.
The graph of f(x) has exactly two x-intercepts.
The graph of f(x) has infinitely many x-intercepts.

geekfromthefutur · Answer

What do you think it is?

anonymous · Answer

I was thinking it was the first one, but I'm not sure.

geekfromthefutur · Answer

You are correct because it cannot have a zero intercept

geekfromthefutur · Answer

@yourstorysofar

anonymous · Answer

Thank you! I just needed to double check.

geekfromthefutur · Answer

Your welcome(:

geekfromthefutur · Answer

If you dont mind giving me a medal ^-^