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Консультация № 190488
26.01.2017, 12:23
0.00 руб.
0
1
1
Здравствуйте! У меня возникли сложности с таким вопросом:
Найти множество значений функции у= х²+2х, х ∈ [-2;1].
Варианты ответов:
1) [-1;3]
2) [0;3]
3) [-1; ∞)
4) (-∞; -2) U (0;+ ∞)
5) (-2; 0)
Найти множество значений функции у= х²+2х, х ∈ [-2;1].
Варианты ответов:
1) [-1;3]
2) [0;3]
3) [-1; ∞)
4) (-∞; -2) U (0;+ ∞)
5) (-2; 0)
Обсуждение
26.01.2017, 13:57
общий
это ответ
Здравствуйте, svrvsvrv!
Для параболы множество значений определяется тремя точками: концами интервала и точкой экстремума, если она попадает в интервал.
Найдем точку экстремума:
y'=2x+2=0, откуда x=-1 [$8712$] [-2;1]
Найдем значение функции в точках:
y(-2) = 0
y(-1) = -1
y(1) = 3
Значит множество значений [-1;3], т.е. ответ № 1
Для параболы множество значений определяется тремя точками: концами интервала и точкой экстремума, если она попадает в интервал.
Найдем точку экстремума:
y'=2x+2=0, откуда x=-1 [$8712$] [-2;1]
Найдем значение функции в точках:
y(-2) = 0
y(-1) = -1
y(1) = 3
Значит множество значений [-1;3], т.е. ответ № 1
5
Большое спасибо.
Об авторе:
"Если вы заметили, что вы на стороне большинства, —
это верный признак того, что пора меняться." Марк Твен
"Если вы заметили, что вы на стороне большинства, —
это верный признак того, что пора меняться." Марк Твен
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