.


:




:

































 

 

 

 





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)





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