\(\begin{array}{l}y^{\prime}=-3 x^{2}+3 \\ y^{\prime}=0 \Leftrightarrow\left[\begin{array}{l}x=1(\mathrm{tm}) \\ x=-1(\mathrm{ktm})\end{array}\right. \\ y(0)=3 ; y(2)=1 ; y(1)=5 \\ \Rightarrow \min _{[0 ; 2]} y=1 ; \max _{[0 ; 2]} y=5 .\end{array}\)