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. , X, , , , y = f (x).

, Y .

, , : 1) 2) , , . , [ , ]: £ £ , , (, ): < < , , [ , ), (, ]: £ < , < x £ . : (, +¥), (¥, ), [ a, +¥), (¥, a ], (¥, +¥).

.

, , :

= f(), = j (), = (), = () . . .

y =f () [ , ] : f () () .

, [ , ], f. , , .. f, .

1 = f (x) [ . b ] [ , d ], , , x (a £ x £ ), y d (c £ y £ d).

, - , , , , , . :

f (x)= c (. 2), f (x) = const.

f (x) x 0 f (x 0). , f (x)= x 3 5 x + 3, f (2) = 23 5 × 2 + 3 = 1, f (0) = 3; j (t) = , j (0) = 1, j (3) = 0,1, j (a) = ..

. 1 x 0 y 0.

f (x) = (x), (x) , . , (x) q (x) , - . , q (x) . - , q (x).

- .

 

1. .

y = f () , , .

, , .

.

1) = 3 + 5.

, 5.

2) .

, , (, , ).

3) y = lg(x 2 + 5 x 2).

.

= f () , , f () .

.

S = p r 2, r , r, .. S = f (r) = p r 2 (r > 0).

S = 2, . , . :

S (x) = x 2 (x > 0).

V = p r3 (r > 0), r . , , .. .

, , , .. t: T = j (t)

. () t, - .

2. .

, .

, . ( .. ). T = j (t) . , , , , , 25 t (t = 0, 1, 2, 3,..., 24) 25 . , . . . , . , , , , , , .

3. .

= f () , = f (x).

= f () , . .

, , , . , , - , .

.

, , , , , .

, , , . .

, . .

: , . . , , .

4. .

, x, , x. , . , y (. 3).

[ ] [ ]., :

= [ ] = ().

. :

[0, 5] = 0; [2, 3] = 2; [ ] = 1; [1, 3] = 2; [ p ] = 3; [ p ] = 4.

, .

, , , . , , . , , , .

. ( ), . . - , . . . , , - .





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