\[\boxed{\mathbf{901}\mathbf{.}}\]
\[\lbrack a;\ b\rbrack\]
\[1)\ a = 0,\ \ \ b = 5:\ \ \ \]
\[f^{'}(x) > 0\ при\ 0 < x < 5;\ \ \ \]
\[f(1) = 0;\ \ \ \]
\[f(5) = 3;\]
\[2)\ a = - 1,\ \ \ b = 3:\ \ \ \]
\[f^{'}(x) < 0\ при - 1 < x < 3,\ \ \ \]
\[f(0) = 0,\ \ \ \]
\[f(3) = - 4;\]