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.

A3cm×3cm\greend{3\,\text{cm} \times 3\,\text{cm}} 3cm×3cm start color greend, 3, space, c, m, times, 3, space, c, m, end color greend rectangle sits inside a circle with radius of 4cm\blued{4\,\text{cm}} 4cm start color blued, 4, space, c, m, end color blued . what is the area of the shaded region? round your final answer to the nearest hundredth.