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Lesson_2

# Lesson_2 - 'n1 ilxbhpi`e il`ivpxtic oeayg(104010 2 lebxz...

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Unformatted text preview: 'n1 ilxbhpi`e il`ivpxtic oeayg (104010) 2 lebxz oxia xnr :dkixr cwy inrp .xc ,ipinipa a`ei .text :ddbd uixw di`n :dqtcd `ean - zeivwpet ?divwpet idn . (1 B-a cigi xai` A-a xai` lkl dni`znd f dn`zdy xn`p . A, B zeveaw izy ozpda . B-l A-n divwpet `id . f : A → B :onqp ' & \$ % ' & \$ % s s s s s s-- : A B x y f . y ∈ B xai`d z` x ∈ A xai`l dni`zn f divwpetdy jkl oeniq df f ( x ) = y :ceqi ibyen . (2 .dxcbda A dveawd idef-- megz .` .dxcbda B dveawd idef-- geeh .a xnelk , A-a mixai`l lreta en`zedy B jezn mixai` ly dveawd-zz idef-- dpenz .b :dveawd idef { y ∈ B : y = f ( x ) miiwnd x ∈ A miiw } = { f ( x ): x ∈ A } xewn `xwp f ( x ) = y miiwnd megza x xai` lk ,dpenza y dcewp dpezpyk-- xewn .c . y ly :( xeyina zecewp ly sqe` ) zebefd sqe` edf-- sxb .d . ( x, f ( x ) ) : x ∈ a . f ly dpenzd = f ly geehd m` lr `id divwpety xn`p-- lr .e 1 xewn yi dpenza xai` lkl m` zikxr-cg-cg `id divwpety xn`p-- zikxr-cg-cg .f .cigi ( .zikxr-cg byenl df byen oia lcadd z` xiaqdl :lbxznl ) zexrd dxcbdd megzy gipp ,dxcbdd megz edn yxetn ote`a oiievn `le divwpet dpezp xy`k .1 .divwpeta aivdl ozipy miiynnd mixtqnd lk `ed .miiynnd mixtqnd lk `ed geehdy gipp ,oezp `l geehd xy`k .2 1 libxz . f ( x ) = √ x + 2 divwpetd dpezp ( .libxzd oexzt ick jez divwpetd sxb z` hhxy :lbxznl ) ?dzxcbd megz edn (` :oexzt . [- 2 , ∞ ) epid dxcbdd megze , x ≥ - 2 xy`k ,xnelk , x + 2 ≥ xy`k dxcbdd megza x ?dpenzd idn (a :oexzt ilily i` xtqn lk ok enke ,dxcbdd megza x lkl √ x + 2 ≥ ik [ 0 , ∞ ) `id dpenzd ozip dfk x-e , y 2 = x + 2 e` , y = √ x + 2 :miiwnd x `evnl jixv ik jxrk lawzn y ≥ . x = y 2- 2 i"r ?lr `id divwpetd m`d (b .miilily mikxr zlawn dpi` divwpetd mcewd sirqd itl .`l :oexzt ?zikxr-cg-cg divwpetd m`d (c xewnd `ed x = y 2- 2 ik d`xn (a) -a aeyigd f` dpenza y ∈ [ 0 , ∞ ) m` ik ,ok :oexzt . y cigid ( .onf yi m` :lbxznl ) zeibef . (3 .megza x lkl f ( x ) = f (- x ) zniiwnd divwpet ef-- zibef divwpet .` .megza x lkl- f ( x ) = f (- x ) zniiwnd divwpet ef-- zibef-i` divwpet .a ( .zibef-i`/zibef divwpet ly zitxbd zernynd z` xiaqdl :lbxznl ) 2 libxz .oezpd megza ze`ad zeivwpetd zeibef z` weca 2 . R megza f ( x ) = x 2 (` . R megza f ( x ) = x 3 (a . R megza f ( x ) = x 2 + x (b :oexzt .zibef `id divwpetd okle R-a x lkl f (- x ) = (- x ) 2 = x 2 = f ( x ) (` .zibef-i` `id divwpetd okle R-a x lkl f (- x ) = (- x ) 3 =- x 3 =- f ( x ) (a okle f (- x ) = (- x ) 2 + (- x ) = x 2- x ik ,zibef-i` dpi`e zibef dpi` divwpetd (b . x 6 = 0 lkl f (- x ) = x 2- x 6 = ± ( x 2 + x ) = ± f ( x ) zeixhpnl` zeivwpet ly zegtyn minepilet .1 dxevdn iehia `ed n dlrnn mepilet f ( x ) = n X i =0 a...
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Lesson_2 - 'n1 ilxbhpi`e il`ivpxtic oeayg(104010 2 lebxz...

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