If $f:[2,3] \to R$ is defined by $f(x) =x^3+3x-2,$ then the range $f(x)$ is contained in the interval:

Question

$$\begin {array} {1 1} (1)\;[1,12] & \quad (2)\;[12,34] \\ (3)\;[35,50] & \quad (4)\;[-12,12] \end {array}$$