Select all the correct answers. Which statements are true about function g? g ⁡ ( x ) = { ( 1 2 ) x − 2 , x < 2 x 3 − 9 ⁢ x 2 27 ⁢ x − 25 , x ≥ 2
As x approaches positive infinity, g ⁡ ( x ) approaches positive infinity.
Function g is continuous.
Function g includes an exponential piece and a quadratic piece.
Function g is increasing over the entire domain.
As x approaches negative infinity, g ⁡ ( x ) approaches positive infinity.