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					                                                                                                                3



                                                                                           :                        .1
                                                                   50            01                             •
                                                                                   :1                           •
              D       x                                        D           f                   .R                   D
                                                                                                f(x)


                                                               D                  R                         :
                                                               x                 f(x)
                                                                                       x       f : f(x)
                                                                           x                                        x
                                                                                   :                            •
                                            .f             x                                    f(x)                 -
                                                 .f            f(x)                                 x                -
                                                      .f                                       D                     -
                                     ....... h g f:                                                                  -
.   –             –           -:                               D       f                                :
                                                                                                                •
    .D        x           f(x)                             D       f                       .R                   D
                                                                                                    :
          (                          ) f( x)= x +3 :                           [-1 3]                                f
                                                           [ - 1 3]                                 -
    . 1       4           4      1                    f (1) = 4                1 + 3= 4 :           -

                                                                                                                •

                                                                           :                                        .Å

                                                                                           :                C

                                        1                                                                   :
                                                                                                          3

                          D                   a (R                       D)D                                   f
            ( f(a)         ) f(x)              a        x                                 a


                                                                                 :                            ï
                                  f ( x ) = 2x + 3 :                     [-1 3]
                                                        .f               2 0 1                                .1
                                                                                                  :
                                                                                                          :
f(1)= 2×1+3=5            ;f(0) = 2×0+3 =3                                            ;f(2)= 2×2+3 =7
                     5        1                     3           0                    7        2

                                                                        74           22                       E

                                                                    :                                         .Å

                                                                                                      C
                D                 f( x)=b                   f            b

                                                             74              25                   E
                                                        :                                                      •
  f                  x                              f

                                                            :                                                 .Å

                                                                                          :           C

                                                                                         .f
      .                                   x                                  f                                 -
                                  x                                          f                                 -
                                                                                              .
                                  Df            f



                                      2                                                               :
                                                                                                                          3

                                                       63                                                                     ï

                                                                                74        19                      E

                                                                                     :                                        .2
                                                                                     :2                     •
                              .R         D                              f   (O , I , J )
. x∈D          M (x , y )                     (O , I , J )                  (                               )
(O , I , J )         (C f )             f( x)= y                 (C f )              f


                                                                                                                  :
                                             :        (O,I ,J)              f
                                                                    .                                                     -
                                                                                     .                                    -
                                                                                          .                               -
                               .                                                                                              Û

                                                                                          72        01            E

                                                                                                    :                     •

                                                                                                                          Å

                                                             .                   (C f )             f

                                                                                                                              Å

                                                                                               :                      C
                       :                     (C f )                     f                 a

                                                                        .                               a                     .1
                                         .                          (d)                  ( a ,0 )                             .2
                                   .a                     f(a)                           (C f )             (d)               .3


                                                      3                                                               :
                                                                                                            3

                                              65                                                                ï

                                                                                                                Å

                                                                                                        C
   :                       (C f )                      f               b

                                                                   .                               b
                                      .                                                   (0,b )
                          .b              (C f )                       -                           –


                                              65                                                                ï

                                                                       :                                        Å

                                                                                                        C
                    (
                   . Cf    )                                                      f


                                                                                              :                 ï
                                                               f
                                                                           f                                     -
                                                                                                            :
                                                                               [− 3;2 ]
                                                                                          75       28                   E

                                                                                                                .3

                                                                                              :3            •
                                                                                  R           I                     f
f (b) > f (a ) :        b<a           I            b   a                              I                             f
  f (a )< f (b) :         b a>            I        b   a                                  I                         f
                               f (a)= f(b) : I             b   a                                   I                f


                                          4                                                             :
                                                                                                    3



                                 f (b )    f(a)                              b   a                      f
                                 f (b )    f(a)                              b    a                     f


         f (b ) ≤ f (a )     b≥ a               I       b       a                     I                 f
          f (b ) ≥ f (a )        b≥ a               I       b       a                     I             f
                           -2-                                                        -1-




    [− 3;1 ]                     f        -2-               [− 3;1 ]                      f   -1-


                                                                         :                          •


                                                        .

                                                                                                    •
                                                                                                        Å
                                                                                                C
f (b )        f(a)         a<b                                  I
          .
              .                      66-65                                                      ï

                                           .                            77       45            E



                                            5                                                   :
                                                                                                                              3

                                                                                                       :                  .4
                                                                                                                     :4
                                                                                                R          I                      f
                       .I      a                   f                              I       f
                                                                               f ( x ) ≤ f ( a ): I             x
                       .I      b                   f                               I       f
                                                                               f ( x ) ≥ f ( a ): I             x

                                                                                                                              •
                                                                                                                                  Å

                                                                                                                          C
                                               I
                                                                                          .I               f

      B
                   4
              3
                                                                                                       :                  ï
                                                   f                                                           -3-
                       3
                       2                                                                      [ - 5 6]
-5     -3         O                6

             -2
                       A
                                            - 3-
                                                                                                                          :

     A  3 ,−2 
                                            [-5 6]             f
       2     
                           3
                                       -2      [-5 6]                f
                           2
                                   B(-3, 4)                                  . [-5 6]          f
                                                       .-3               4     [-5 6]              f




                                                             6                                                            :
                                                                                                                      3

                                                                                                                          Å

                                                                                                                  C


                                                                                          .
                                                                                     :                            ï
-3-              f
                                                                                     [ - 5 6]


  x -1                0                                   2                                               3

f(x)                  5                                                                                       3


       2                                                      -4
                           .2                    -4           [-1 3]         f
                                .0                    5       ]-1 3]             f
                                                                                              :                           .5
                                                                   26        04                                       •
                                                                                              5
                                                                             R            D                                f
                                         :                                                        f
           f(-x)=f(x) D    x                      0                          D
                                             :                                                        f
           f(-x)=-f(x) D   x                      0                          D

                                         .                              78           49                       E




                                     7                                                                            :
                                                                                                3

                                                              :                                     .6
                                      (C g ) (C f )   D                                         g    f

         (C g ) (C f )                                                  f(x)=g(x)

(C g )                   (C f )                                        f(x) > g(x)


                                                                                                •


                                                                        R      I                     f
     .                            I                               I                     f
                                  I                                I                    f
x0                                                        I   x0                        f
                                                                          77       44


                                                                   66                E




                                        8                                                   :

				
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