Предмет: Математика, автор: zbarackaymarina

Помогите очень срочно!!!

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Автор ответа: mariamaltseva0408

Ответ:

Пошаговое объяснение:

Для дослідження монотонності функції у = 7/4 - x на певному проміжку, спростимо завдання. Ця функція є лінійною, тому ми можемо визначити її монотонність на будь-якому проміжку, перевіряючи знак її похідної.

Функція у = 7/4 - x є відомою лінійною функцією зі схилом -1. Похідна цієї функції дорівнює -1 (константа). Оскільки похідна функції в постійному і від'ємному, це означає, що функція у = 7/4 - x спадає на всьому проміжку.

Отже, функція у = 7/4 - x є монотонно спадною на будь-якому проміжку, на якому вона визначена.

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