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Консультация № 197027
10.11.2019, 04:20
0.00 руб.
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Здравствуйте! Прошу помощи в следующем вопросе:
Изобразите схематично график функции, зная, что а больше 1.
Изобразите схематично график функции, зная, что а больше 1.
Прикрепленные файлы:
Обсуждение
31.07.2022, 07:40
общий
это ответ
Здравствуйте, svrvsvrv!
График функции
можно получить из графика функции 
сдвигом логарифмической кривой на две единицы влево. После этого график функции 
можно получить сдвигом логарифмической кривой на одну единицу вниз. Вместо сдвигов логарифмической кривой можно выполнить сдвиги координатных осей: сначала на две единицы вправо, а затем на одну единицу вверх. В прикреплённом файле для сравнения показаны графики трёх функций: 
для которых 
Кривые обозначены красным, синим и зелёным цветами соответственно.
Для эскизного построения графика функции нужно учесть характерные особенности:
1) поскольку
при 
постольку график пересекает ось абсцисс в точке 
2) поскольку
постольку график пересекает ось ординат в точке 
если 
то 
если 
то 
если 
то 
3) прямая
является асимптотой графика.
Требуемый схематичный график вблизи начала координат показан во втором прикреплённом файле (для случая
).
График функции
можно получить из графика функции сдвигом логарифмической кривой на две единицы влево. После этого график функции можно получить сдвигом логарифмической кривой на одну единицу вниз. Вместо сдвигов логарифмической кривой можно выполнить сдвиги координатных осей: сначала на две единицы вправо, а затем на одну единицу вверх. В прикреплённом файле для сравнения показаны графики трёх функций: для которых Кривые обозначены красным, синим и зелёным цветами соответственно.Для эскизного построения графика функции
нужно учесть характерные особенности:1) поскольку
при постольку график пересекает ось абсцисс в точке 2) поскольку
постольку график пересекает ось ординат в точке если то если то если то 3) прямая
является асимптотой графика.Требуемый схематичный график вблизи начала координат показан во втором прикреплённом файле (для случая
).
Прикрепленные файлы:
5
Благодарю Вас за очень подробное и хорошее объяснение.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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