Найдите область значений функции y=x^2-2x-8, x€[-1; 3].

\[y = x^{2} - 2x - 8;\ \ \ \lbrack - 1;3\rbrack.\]

\[Парабола,\ ветви\ вверх,\ координаты\ \]

\[вершины:\]

\[x_{0} = - \frac{b}{2a} = \frac{2}{2} = 1;\ \ \ \]

\[y_{0} = 1 - 2 - 8 = - 9.\]

\[y( - 1) = 1 + 2 - 8 = - 5;\ \]

\[y(0) = - 8;\]

\[y(3) = 9 - 6 - 8 = - 5.\]

\[E(y) = \lbrack - 9;\ - 5\rbrack.\]