1. = f(), , , > 0,
| f () | ≤ M. , = = - .
2. = f(), , - 1, 2 1< 2 :
1) f(1) < f(2),
( );
2) f(1) > f(2),
( );
3) f(1) ≤ f(2), ;
4) f(1) ≥ f(2), .
, , .
3. = f(), , - :
1) f(-) = f(), .
2) f(-) = - f(), .
, - .
, y = x2, y = cos x, y = ln |x| - , y = sin x, y = x3 - .
, . , y = x - 2, y = - .
4. = f(), , , > 0, ( + ) f ( + ) = f (). . , y = sin x, y = cos x - = 2π.
= f() Y. y Y , x = φ (y) Y . φ(y) f(). , =f() x = φ (y) . x = φ (y), = f() f () = .
: 1. ;
2. , [- 1, 1], , [0, 1]
, = f() , f() Y. , - ( ) . , = f() = φ() .
z = φ () Z, Z = f(z) Y, = f[φ ()] , z .
|
|
, , (-∞, 0) (-1, +∞), = f (z) = , z = φ () = .