Предмет: Алгебра, автор: Аноним

у=3x-4/x-2.
1) найдите D(y)
2) исследовать на чётность
3) Найти производную
4) найти xmax и xmin ( график нарисовать нужно)
5) найти критические точки
6) Найти стационарные точки
7) приравнять к нулю

Ответы

Автор ответа: Аноним

y=(3x-4)/(x-2)
D(y)∈(-∞;2) U (2;∞)
y(-x)=(-3x-4)/(-x-2) ни четная,ни нечетная
x=0⇒y=2
y=0⇒x=4/3
(0;2) U (4/3;0) точки пересечения с осями
y`=(3x-6-3x+4)/(x-2)²=-2/(x-2)²<0 на всей области определения функция убывает
x=2 критическая точка
х=2-вертикальная асимптота

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9b785389f7d355512de5b4ae21b26c78.docx

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