Решебник по алгебре 9 класс Мерзляк Задание 362

\[\boxed{\text{362\ (362).\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

\[y = 3x^{2} - 18x + 2\]

\[1)\ \lbrack - 1;4\rbrack\]

\[y( - 1) = 3 + 18 + 2 = 23\ \ \]

\[y(0) = 2\]

\[y(1) = 3 - 18 + 2 = - 13\]

\[y(2) = 12 - 36 + 2 = - 22\]

\[y(3) = 27 - 54 + 2 = - 25\]

\[y(4) = 48 - 72 + 2 = - 22.\]

\[Ответ:\ y_{\min} = - 25.\]

\[2)\ \lbrack - 4;1\rbrack\]

\[y( - 4) = 48 + 72 + 2 = 122\]

\[y( - 3) = 27 + 54 + 2 = 83\]

\[y( - 2) = 12 + 36 + 2 = 50\ \ \]

\[y( - 1) = 3 + 18 + 2 = 23\]

\[y(0) = 2\ \ \]

\[y(1) = 3 - 18 + 2 = - 13.\]

\[Ответ:\ y_{\min} = - 13.\]

\[3)\ \lbrack 4;5\rbrack\]

\[y(4) = 48 - 72 + 2 = - 22\]

\[y(5) = 75 - 90 + 2 = - 13.\]

\[Ответ:\ y_{\min} = - 22.\]