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See funktsioon avaldub arvupaaridena jrgmiselt: {(-2;2), (-1;1), (0;0), (1;1), (2;2)}fx#% Graafik%1funktsiooni f graafikuks on joon, mille vrrand on y = f(x) saab olla vaid selline joon, mille korral igale x vrtusele vastab vaid ks punkt sellel joonel koordinaatteljestikus vimalik kujutada vaid osa graafikust vib koosneda kas ksikutest punktidest, pidevast joonest vi mitmest pidevast joonest $0ZZ21%Graafik%vimaldab funktsiooni kujutada piltlikumalt funktsiooni mitmed omadused selgemini nhtavad kui valemist eksperimentaalteadustes vga levinud seoste esitamisviis% Nited%%   Nooldiagramm  %Cesitatakse kahe hulgana, millest ks neist kujutab funktsiooni mramispiirkonda, teine muutumispiirkonda seoseid hulkade vahel kujutatakse noolte abil argumendi igale vrtusele vastab funktsiooni vrtus neid vrtusi oleks argumendi iga vrtuse jaoks vaid ks hulga X iga elemendi juurest peab lhtuma tpselt ks nool DZDC% Nited%Nide 1 Igal inimesel on teatav vanus. Seega igale inimesele saame vastavusse seada he arvu  tema vanuse. Inimese  vanus on funktsioon, mille mramispiirkonnaks on inimeste hulk ja muutumispiirkonnaks arvude hulk % Nited%Nide 2 Olgu mramispiirkonnaks inimeste hulk ja muutumispiirkonnaks riikide hulk. Kas  kodakondsus on funktsioon? Kodakondsus ei ole funktsioon, sest leidub inimesi, kellel on mitme riigi kodakondsus, kuid on ka kodakondsuseta isikuid % Snaline formuleering%Dirichle`t funktsiooni pole vimalik esitada graafiku abil, vaid defineeritakse snalise formuleeringu abil arvu tisosa leidmine: arvu x tisosa on suurim tisarv, mis ei leta arvu x  %  Kokkuvte  %qenim kasutatav funktsiooni esitusviis on valem mnikord polegi funktsiooni esitamiseks muud vimalust peale tabeli graafiku konstrueerimisel on saadud tulemus sageli ebatpne, mistttu lisatakse graafikule ka see reegel, mille abil leitakse need graafiku punktid (e. valem) leidub funktsioone, mille graafikut pole vimalik esitada kooskasutamine: valem, tabel, graafikrZrq%Kodune lesanne%Selgita, kas jrgmine seos mrab funktsiooni: - inimese vanus ja tema kehakaal - juhuslik tisarv ja selle ruutjuur - ringi raadius ja ringi pindala Miks ei saa Dirichlet funktsiooni graafikuna esitada? 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̙33 //___PPT10..+6ND-' X= @B D-' = @BA?%,( < +O%,( < +D{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*8%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*8D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*8D{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*8%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*8D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*8D{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*8x%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*8xD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*8xD{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*8x%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*8xD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*8xD{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*8%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*8D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*8D{' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*8%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*8D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*8Dn' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* 8%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<* 8D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<* 8Dn' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* 8%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<* 8D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<* 8Dn' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<* 8%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<* 8D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<* 8Dn' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*8%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*8D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*8++0+80 ++0+80 ++0+80 ++0+80 +  0pL0  <(  < < c $XA%;<$D 0  X  < c $XB?4<$D 0 X H < 0޽h ? ̙33___PPT10w.+'%D ' X= @B D ' = @BA?%,( < +O%,( < +D ' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*<%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*<D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*<D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*<l%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*<lD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*<lD#' =%(pD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*<l%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*<lD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*<l+p+0+<0 ++0+<0 +  0pL0 p@(  @ @ c $A%;<$D 0  X  @ c $BP<$D 0  H @ 0޽h ? ̙33 ___PPT10.+'%D`' = @B D' = @BA?%,( < +O%,( < +DR' =%(D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*@%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*@D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*@D#' =%(D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*@/%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*@/D' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*@/D#' =%(pD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*@/s%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*@/sD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*@/sD#' =%(,D' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*@s%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*@sD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*@sD#' =%(hBD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*@L%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*@LD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*@LD#' =%(WD' =A@BBBB0B%(D' =1:Bvisible*o3>+B#style.visibility<*@Lr%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*@LrD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*@Lr+p+0+@0 ++0+@0 +!  0pL0 `D(  D D c $LA%;<$D 0    D c $8B?4<$D 0  H D 0޽h ? 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̙33___PPT10+/\D|' = @B D7' = @BA?%,( < +O%,( < +Dn' =%(D' =%(D' =4@BBBB%(D' =1:Bvisible*o3>+B#style.visibility<*H%(D' =+4 8?dCB0-#ppt_w/2BCB#ppt_xB*Y3>B ppt_x<*HD' =+4 8?\CB#ppt_yBCB#ppt_yB*Y3>B ppt_y<*H+r`0o6;/G_ln} ;I ';M.C1Oh+'0 hp   @ L XdlFunktsiooni esitusviisidUrveTC:\Program Files\Microsoft Office\Templates\Presentation Designs\Bold Stripes.pot Vino Tuisk18Microsoft PowerPoint@p@s@0|CvGg   -  y--$xx--'--$xx--'--$xx--'--$xx--'--$x x --'--$ x x --'--$ xx --'--$xx--'--$xx--'--$xx--'--$xx--'--$xx--'--$xx--'--$ x!x! --'--$""x$x$"--'--$%%x&x&%--'--$((x)x)(--'--$**x,x,*--'--$--x.x.---'--$00x1x10--'--$22x4x42--'--$55x6x65--'--$88x9x98--'--$::x<x<:--'--$==x>x>=--'--$@@xAxA@--'--$BBxDxDB--'--$EExFxFE--'--$HHxIxIH--'--$JJxLxLJ--'--$MMxNxNM--'--$PPxQxQP--'--$RRxTxTR--'--$UUxVxVU--'--$XXxYxYX--'--$ZZx\x\Z--'--$]]x^x^]--'--$``xaxa`--'--$bbxdxdb--'--$eexfxfe--'--$hhxixih--'--$jjxlxlj--'--$mmxnxnm--'--$ppxqxqp--'--$rrxtxtr--'--$uuxvxvu--'--$xxxyxyx--'--$zzx|x|z--'--$}}x~x~}--'--$xx--'--$xx--'--$xx--'--$xx--'--$xx--'--$xx--'--$xx--'--$xx--'--$xx--'--$xx--'--$xx--'--$xx--'- @ IZx  -B( UUUU-- @ y --  @ IZx -'3f- @ IZ  -B( UUUU-- @ --  @ IZ -'- @ IZV,< -B( UUUU-- @ V-=--  @ IZV,<-'@"Verdana-. 3f+2 *IFunktsiooni esitusviisid."System;-@"Verdana-. 2 9HXI klass.-@"Verdana-. 2 BH Urve Paulmann.-@"Verdana-.  2 KH2006.-՜.+,0    cOn-screen Showa Times New RomanVerdana WingdingsArial Bold StripesFunktsiooni esitusviisidFunktsiooni esitusviisidValemNitedTabelNited ArvupaaridGraafikGraafikNited NooldiagrammNitedNitedSnaline formuleering KokkuvteKodune lesanne Slide 17  Fonts UsedDesign Template Slide Titles#_C Vino TuiskVino Tuisk  !"#$%&'()*+,-./0123456789:;<=>?@ABCDEGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefghijklmnopqrstuvwxyz{|}~      !"#$%&'()*+,-./0123456789:;<=>?@ABCDEFGHIJKLMNOPQRSTUVWXYZ[\]^_`abcdefgijklmnopqrstvwxyz{|~Root EntrydO)Pictures7Current User}SummaryInformation(hPowerPoint Document(FCDocumentSummaryInformation8u