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Консультация № 191116
08.06.2017, 16:06
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Обсуждение
10.06.2017, 14:22
общий
это ответ
Здравствуйте, asdf1234!
Рассмотрим функцию
Область определения функции - множество вещественных чисел.
Функция не является чётной, потому что
Функция не является нечётной, потому что
Функция не является периодической как и всякий многочлен.
Если
то 
Значит, график функции пересекает ось ординат в точке 
Решая уравнение
с использованием онлайн-калькулятора
установим, что график функции пересекает ось абсцисс в точке
При
функция принимает отрицательные значения, а при 
- положительные.
Дифференцируя функцию, получим
- первая критическая точка функции,
- вторая критическая точка функции,
- значение функции в первой критической точке,
- значение функции во второй критической точке,
значит, при 
функция имеет локальный максимум;
значит, при 
функция имеет локальный минимум,
значит, 
- точка перегиба графика функции,
- значение функции в точке перегиба,
при
график функции направлен выпуклостью вверх, а при 
- выпуклостью вниз.
При
У графика функции нет асимптот.
По данным, полученным из расчёта, можно изобразить схематичный график функции. Ссылка на график, построенный автоматически.
Рассмотрим функцию
Область определения функции - множество вещественных чисел.
Функция не является чётной, потому что
Функция не является нечётной, потому что
Функция не является периодической как и всякий многочлен.
Если
то Значит, график функции пересекает ось ординат в точке Решая уравнение
с использованием онлайн-калькулятораустановим, что график функции пересекает ось абсцисс в точке
При
функция принимает отрицательные значения, а при - положительные.Дифференцируя функцию, получим
- первая критическая точка функции, - вторая критическая точка функции, - значение функции в первой критической точке, - значение функции во второй критической точке, значит, при функция имеет локальный максимум; значит, при функция имеет локальный минимум, значит, - точка перегиба графика функции, - значение функции в точке перегиба,при
график функции направлен выпуклостью вверх, а при - выпуклостью вниз.При
У графика функции нет асимптот.По данным, полученным из расчёта, можно изобразить схематичный график функции. Ссылка на график, построенный автоматически.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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