Which statements are true about function g? g\left ( x \right )\:=\:\left\{\begin{array}{lclB40C30} \left ( \frac{1}{2} \right )^{x-2}, && x\:<\:2\\ x^{3}\:-\:9x^{2}\:+\:27x\:-\:25, && x\:\geq \:2 \end{array}\right. Function g is continuous. Function g is increasing over the entire domain. Function g includes an exponential piece and a quadratic piece. As x approaches positive infinity, approaches positive infinity. As x approaches negative infinity, approaches positive infinity.