. , X, , , , y = f (x).
, Y .
, , : 1) 2) , , . , [ , ]: £ £ , , (, ): < < , , [ , ), (, ]: £ < , < x £ . : (, +¥), (¥, ), [ a, +¥), (¥, a ], (¥, +¥).
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, , :
= 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).
- .
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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. .
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= f () , = f (x).
= f () , . .
, , , . , , - , .
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, , , , , .
, , , . .
, . .
: , . . , , .
4. .
, x, , x. , . , y (. 3).
[ ] [ ]., :
= [ ] = ().
. :
[0, 5] = 0; [2, 3] = 2; [ ] = 1; [1, 3] = 2; [ p ] = 3; [ p ] = 4.
, .
, , , . , , . , , , .
. ( ), . . - , . . . , , - .