1. 2. 1. 2. , 3. , 4. f ( x ) 5. :f ( x ) = 0

,

6. :

f ( x ) 0

f ( x ) 0

7. (max, min ) 8. 1.

f ( x ) = x 10x + 94 2

. .

1. 2.

D( f ) = ] ; [2 4 2

f ( x ) = ( x ) 10( x ) + 9 = x 10x + 9 = f ( x )4

. . 3. OY , . , . y =9 y=0 x=0 A( 0,9) x 4 10x 2 + 9 = 0 x 2 9 x 2 1 = 0 ( x 3)( x + 3)( x 1)( x + 1) = 0 x1 = 3, x 2 = 1, x 3 = 1, x 4 = 3B( 3;0 ) , C ( 1,0 ) , D(1;0 ) , E ( 3;0 )

(

)(

)

.

f ( x ) = x 10x + 9 04 2

( x 3)( x + 3)( x 1)( x + 1) 0

,

] 3[ ] 1;1[ ]3;+[

,

] 3;1[ ]1;3[

. 4. :

f ( x ) = 4 x 3 20x = 4 x ( x 2 5) = 0

.

x = 0, x = 5

A( 0;9 ) , M 5 ;16 , N 5 ;16

(

) (

)

.

5. , , :

xf ( x ) y = f ( x)

] ; 5 [

5 0 -16

]

5 ;0+

[

0

]0; 5[

5 0 -16

]

5 ;++

[

0 9

6. . 7.

M 5 ;16 , N 5 ;16

(

) (

)

,

A( 0;9)

2

.f ( x) = x x 42

1. : x2-40=>x2. Df=-;2-2;22; . 2. f-x=-xx2-4=-xx2-4=-f(x) . . 3. OY - , : x=0 y=0 O(o;o) . fx=xx2-4>0 . , , . . . 4. . 5. . 6.