Предмет: Алгебра, автор: angelinakoche

найти множество значений функций y=-2x^2+8x-1

Ответы

Автор ответа: infor5

Данная заданная функция квадратичная
Находим вершину параболы х= - b /2a = - 8/2 *(-2)= 2
y(2) = - 2*2^2 +8*2-1= -8 +16 -1 =7
Так как a= -2<0 то ветви направлены вниз
Тогда функция принимает значения от "минус" бесконечности до 7
Ответ: y∈(-≈;7]

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