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Консультация № 198936
19.06.2020, 16:16
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Здравствуйте! Прошу помощи в следующем вопросе:
Дана функция f(x) = x^2 + 2^x, отображающая множество действительных чисел R во множество действительных чисел, R->R. Является ли эта функция сюръективной, инъективной, биективной? Почему?
Дана функция f(x) = x^2 + 2^x, отображающая множество действительных чисел R во множество действительных чисел, R->R. Является ли эта функция сюръективной, инъективной, биективной? Почему?
Обсуждение
16.07.2022, 13:40
общий
это ответ
Здравствуйте, gbulat.batarshin!
Заданная функция является инъективной, потому что различным значениям
соответствуют различные значения 
Эта функция не является сюръективной, потому что принимает только неотрицательные действительные значения. А поскольку она не является сюръективной, то не является и биективной функцией.
Заданная функция является инъективной, потому что различным значениям
соответствуют различные значения Эта функция не является сюръективной, потому что принимает только неотрицательные действительные значения. А поскольку она не является сюръективной, то не является и биективной функцией.
Об авторе:
Facta loquuntur.
Facta loquuntur.
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