Calculate the transfer function of the linear system described by the following state and output equations,

\[ \begin{aligned} \left\{\begin{array}{l} \dot{x}_{1}(t) \\ \dot{x}_{2}(t) \\ \dot{x}_{3}(t) \end{array}\right\} & =\left[\begin{array}{ccc} -2 & -5 & -4 \\ 1 & -1 & 0 \\ 0 & 1 & 0 \end{array}\right]\left\{\begin{array}{l} x_{1}(t) \\ x_{2}(t) \\ x_{3}(t) \end{array}\right\} \\ & +\left\{\begin{array}{l} 0 \\ 1 \\ 1 \end{array}\right\} u(t) \\ y(t) & =\left\{\begin{array}{lll} 3 & 1 & 0 \end{array}\right\}\left\{\begin{array}{l} x_{1}(t) \\ x_{2}(t) \\ x_{3}(t) \end{array}\right\} \end{aligned} \]

Is the transfer function proper, strictly proper, or not proper?