Предмет: Математика, автор: kkkillness

докажите чио функция y= -x^2-6x-19 может принимать только отрицательные значения

Ответы

Автор ответа: dnepr1

Дана функция y= -x^2-6x-19.
График её - парабола ветвями вниз.
Находим координаты вершины этой параболы.
хо = -в/2а = 6/(2*(-1)) = -3.
уо = -9+18-19 = -10.
Как видим, вся парабола лежит ниже оси Ох, то есть в отрицательной полуплоскости - все значения заданной функции отрицательны.
Условие доказано.

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