\[\boxed{\mathbf{921}\mathbf{.}}\]
\[1)\ a = - 6,\ \ \ b = 6:\ \ \ \]
\[f( - 6) = - 6;\ \ \ \]
\[f(6) = 1;\]
\[f^{'}( - 4) = 0;\ \ \ \]
\[f^{'}( - 1) = 0;\ \ \ \]
\[f^{'}(4) = 0;\]
\[f^{'}(x) > 0\ при\ - 6 < x < - 4;\ \ \ \]
\[- 1 < x < 4;\]
\[f^{'}(x) < 0\ при\ - 4 < x < - 1;\ \ \ \]
\[4 < x < 6.\]
\[2)\ a = - 4,\ \ \ b = 5:\ \ \]
\[f( - 4) = 5;\ \ \ \]
\[f(5) = 1;\]
\[f^{'}( - 3) = 0;\ \ \ \]
\[f^{'}(0) = 0;\ \ \ \]
\[f^{'}(3) = 0;\]
\[f^{'}(x) < 0\ при\ - 4 < x < - 3;\ \ \ \]
\[0 < x < 3;\]
\[f^{'}(x) > 0\ при\ - 3 < x < 0;\ \ \ \]
\[3 < x < 5;\]