Решебник по алгебре 9 класс Мерзляк Задание 387

\[\boxed{\text{387\ (387).\ }\text{Еуроки\ -\ ДЗ\ без\ мороки}}\]

\[1)\ y = \frac{x^{3}}{|x|} + 4x\]

\[1.y = x^{2} + 4x,\ \ x > 0\]

\[y(1) = 1 + 4 = 5\]

\[x_{0} = - 2,\ \ y_{0} = - 4,\ \ \]

\[( - 2;\ - 4)\]

\[x = 0,\ \ y = 0,\ \ (0;0)\]

\[x(x + 4) = 0,\ \ x = 0,\]

\[\ \ x = - 4\ (не\ удовлетворяет),\]

\[\text{\ \ }(0;0)\]

\[2.\ y = - x^{2} + 4x,\ \ x < 0\]

\[y( - 1) = - 1 - 4 = - 5\]

\[x_{0} = 2,\ \ y_{0} = - 4 + 8 = 4,\ \ \]

\[(2;4)\]

\[x = 0,\ \ y = 0,\ \ (0;0)\]

\[- x(x - 4) = 0,\ \ x = 0,\]

\[\ \ x = 4\ (не\ удовлетворяет),\]

\[\text{\ \ }(0;0)\]

\[2)\ y = 6|x| - x^{2}\]

\[y = - x^{2} + 6x,\ \ x > 0\]

\[x_{0} = 3,\ \ y_{0} = 9,\ \ (3;9)\]

\[x = 0,\ \ y = 0,\ \ (0;0)\]

\[- x(x - 6) = 0\]

\[x = 0,\ \ (0;0)\]

\[x = 6,\ \ (6;0)\]

\[y( - 1) = - 1 + 6 = 5\]

\[y = - x^{2} - 6x,\ \ x < 0\]

\[x_{0} = - 3,\ \ y_{0} = 9,\ \ \]

\[( - 3;9)\]

\[x = 0,\ \ y = 0,\ \ \]

\[(0;0)\]

\[- x(x + 6) = 0\]

\[x = 0,\ \ (0;0)\]

\[x = - 6,\ \ ( - 6;0)\]

\[y( - 1) = - 1 + 6 = 5\]