1. f (x).
2. f (x) ,
.
3. , .
4. (1).
5. , .
5. f (x) = - 2/(x + 2).
1. - (-¥, -2) (-2, +¥).
2. l i m - 2/(x + 2) = ¥.
- 2 0
3. = - 2.
4. = kx + b:
k = = - ,
b= = .
5. = - + 2 = 2 - .
2.8.
:
1) ;
2) ;
3) ;
4) , ;
5) , ;
6) ;
7) .
, , .
1. y=f (x) , . . , , . . f (-x)=f (x), , . , .
2. y=f (x) , .. , , .. f (-x) = -f (x), . .
3. , , . , , , , , .
4. , , .
5. = 0 f΄(x0) = f˝(x0)=0, f (x) n n = 0 , :
, 0 , , 0 , . , 0 , .
|
|
6. .
1. : , =2 ;
2. = = - ∞; = = ∞. =2 - .
3. :
) = = ,
) .
, 1 = 0, 2 = 4, 3 = 2 ( ).
4. :
(-¥;0) | (0;2) | (2;4) | (4;¥) | ||||
Sign [f¢(x)] | + | - | ? | - | + | ||
f(x) | ¯ | ¥ | ¯ |
5. , = 0 ,
= 4 .
6.
) = = ,
) = 0.
, , = 2 .
(-¥;2) | (2;¥) | ||
Sign [f¢¢(x)] | - | ? | + |
f(x) | ¥ |
7. ( 2):
k = = , b= = .
= + 2.
8. : = 0, = 0.
-2 0 2 4
.4
9. (.4)