Consider the functions \(f_{1}(x)=x, f_{2}(x)=2+\log _{e} x, x>0\). The graphs of the functions intersect.
(A) once in \((0,1)\) but never in \((1, \infty)\)
(B) once in \((0,1)\) and once in \(\left(e^{2}, \infty\right)\)
(C) once in \((0,1)\) and once in \(\left(e, e^{2}\right)\)
(D) more than twice in \((0, \infty)\)