\({\rm{f}}\left( {\rm{x}} \right) = {\rm{x}}\left| {\rm{x}} \right| - 1{\rm{\;and\;g}}\left( {\rm{x}} \right) = \left\{ {\begin{array}{*{20}{c}} {\frac{{3{\rm{x}}}}{2},{\rm{\;x}} > 0}\\ {2{\rm{x}},{\rm{\;x}} \le 0} \end{array}} \right.\)What is the area bounded by the curves?

• A. \(\frac{{17}}{6}\) square units
• B. \(\frac{{8}}{3}\) square units
• C. 2 square units
• D. \(\frac{{1}}{3}\) square units