00020002010015Polynomial Func-2.ACT000402000dAsymptote.EAC010000002a9eÉ Asymptote.EAC†Polynomial Func-2.ACT†*†- ˆ:†>Š Ž Ž$kE †(Œ'#[†) ’k†Š7[Œ End Behavior of Œ ’œs’2Œ: Df(x)=ŽRxŒe2Œm+3¶1‹ ¶G+1+2¶ežI†¶™1”†“ÂÊ x† 2Œ+1ŽxŒîîŒ$ = 1\Œ0 CalculatorËˆB†Oß††XÌR†aŽa¦k3¶ž‡îRŽ®1þ]œä-¨^ŽÑÀSGraph2D,† †Š3Š@†ˆLISTSYSˆL4N†Modify†;€†($ˆ<STATCALC¤†Uˆ(ˆŒ<¬\ˆ<Sequence†<,ˆxSheet†Š4†|’ŠŒ°’olveEq†´ˆ´Lwr0†Í(Upˆ<’tupFLG1H†<(Š<†Lis†{p†dD‰ˆPic†´ÜViewWindØ†‰,äŠ±‡@ôxäŠ ŠŒä( ä<´äP$Èäd’ÜäŽx <†ä† † H’’T’’`’’l’’x’’„’’’’œ’’¨’ ’´’!’À’"’Ì’#’Ø’$’ä’%’ð’&’ü’'‘@’(‘T’)‘hˆ¾Œ*‘|,’+‘8’ˆ‹§D¸†ä-†P† †.’\’0’h’1’t’2’€’3’Œ’4’˜’5’¤’E’°’F’¼’H’È’I’Ô’J’à’K’ì’L’ø’M‘,’N‘@’O‘T’‰^‹k(’Q‘|‰ŒR‘@’S‘¤ˆ–ŒT‹¸X††ä]††d† ˆ^’h’_’l’`’p’a’t’b’x’”’|’Œ•’ˆ’Í’ˆ2ŒÎ’ ’Ð’¬Ü††ˆŒ!†” system‰list’‡]=’‡‰’†ü‰’†ø‰’†ô~[PÂŽŽž¾ ¤@PÂŽŽž¾ þ@þ€þÀÿÿ@ÿxPÂPŽŽž¾ þ@þ€þÀÿÿ@ÿx‡¸PÂŽŽž¾ þ@þ€þÀÿÿ@ÿx‡¸PÂŠŽž° ††a†F seq_histb†NewFoldeŠ]ˆ3 ’ systemä]l†0’^]=” –˜††î<ˆxö<þxìðÒ´ emPÂŠŒsystˆä]list’^]= ö<þxþ´<† ††††’’,† †0†@†@PSheet1úº™^Š2ž3ž 4ž 5ž ‡›ŠX3D´|PSheet1èº™^Š2ž3ž 4ž 5ž ŒH3D Šˆi™” ™†Š Ž Š8¸Dkäûx†††$’S’\¢œ†jD²<‡Žh†(žŽ `–PÝÆ$´$“$–p”x”,ˆˆ ™€ `”˜$’.ˆ>(1…0qy`ˆH#Y‡uYƒ†U ˜–0–šH®Æ$ÊHš©š¶´¨5°´þaþ ‰¼†Œ˜ °˜’®`–$ ™†OŠq\Š;GraphÌˆ$†ÊŒøSGraph2D@† †Š3ŠT†ˆLISTSYSˆ`4N†Modify†;”†($ˆ<STATCALC¸†Uˆ(ˆŒ<À\ˆ<Sequence†<,ˆxSheet†ŠH†|’ŠŒÄ’olveEq†´ˆ´LwrˆÍ(UpˆP’tupFLG1\†<(Š<†Lis†{„†dD‰ˆPic†ÈÜViewWindì†‰,y†JŠ³†¹$†¹†ä’,Œä’8 ä’’´ä’’´ä’ˆ´ŠÜäŽx h†ä† † t’’€’’Œ’’˜’’¤’’°’’¼’’È’’Ô’’à’ ’ì’!’ø’"ð’#‘’$‘ˆªŒ%‘,(’&‘@4’'‘T@’ˆ2‹kL’)‘|X’*‘d’+‘¤p¸†ä,†|† †-’ˆ’.’”’0’ ’1’¬’2’¸’3’Ä’4’Ð’5’Ü’E’è’F’ô’HÜˆåŒIð’J‘’K‘$’L‘,ˆúŒM‘@<’N‘Tˆ‚ŒO‘hT’P‘|`’Q‘l’R‘¤x’S‹¸„††äT††’]’œ†- ˆ^’ ’_’¤’`’¨’a’¬’b’°’”’´’Œ•’À’Í’Ì’Î’Ø’Ð’äð††ˆŒ!†” system‰list’‡]=’‡‰’†ü‰’†ø‰’†ô~oPÂŽŽžº PÂˆŽž¾ î8þpþ°þðÿ0ÿp¡°PÂ†ŽŽž¾ þ@þ€þÀÿÿ@ÿx‡¾PÂŽŽž¾ þ@þ€þÀÿÿ@ÿxPÂŽŽž¾ ”††a†W seq_histb†NewFoldeŒn† ’ systemä]l†0’^]=” –¨††î<ˆxö<þxìðª´systemä^]=PÂŠŒ’,]listö<ö<þxÈð††††’’,† †0†@†@PSheet1úº™^Š2ž3ž 4ž 5ž ŒH3DŒ|† †0†@†PSheet1èº™^Š2ž3ž 4ž 5ž †lŠX3D†v Š†i™” ™††Š Ž Š8¸Dkäûxˆ¹†°ˆÀ††$’S’\¢œ†jD²<‡Žh†(¦d‡G3x(x^2+3)/Š1)Œ?Ž'`–P‘Æ$®$†–p`””0– ™`”0ª$’ˆs(1…0qy`ˆT#Y‡uYƒ†Š ˜–˜œšH°`Æ$ÊHš©š¶´¨5°´þa™H†Œ˜ °à1¨a’®`–$ ™†PŠ©[Š;y=1 is the asymptote.Ž% [Œ8f(x)=ŽxŒP3ŒX+3¤2Œt-1G =x+Œ,x¾7˜Î2 ŒîîîŒz = 0\ CalculatorË†ßŠ† xRŠ ˆ collect(ŽxŒ3Ž#+3,¤2Œ@ -1)R’DŒ\î’–ž:-Œ‚1Œg+ž?+‰Š± `”!¤½Že-^’”Š¯Œþ0þ[˜ï-¨\g~ÀSGraph2D,† †Š3Š@†ˆLISTSYSˆL4N†Modify†;€†($ˆ<STATCALC¤†Uˆ(ˆŒ<¬\ˆ<Sequence†<,ˆxSheet†Š4†|’ŠŒ°’olveEq†´ˆ´Lwr0†Í(Upˆ<’tupFLG1H†<(Š<†Lis†{p†dD‰ˆPic†´ÜViewWindØ†‰,äŠ±‡@ôxäŠ ŠŒä( ä<´äP$Èäd’ÜäŽx <†ä† † H’’T’’`’’l’’x’’„’’’’œ’’¨’ ’´’!’À’"’Ì’#’Ø’$’ä’%’ð’&’ü’'‘@’(‘T’)‘hˆ¾Œ*‘|,’+‘8’ˆ‹§D¸†ä-†P† †.’\’0’h’1’t’2’€’3’Œ’4’˜’5’¤’E’°’F’¼’H’È’I’Ô’J’à’K’ì’L’ø’M‘,’N‘@’O‘T’‰^‹k(’Q‘|‰ŒR‘@’S‘¤ˆ–ŒT‹¸X††ä]††d† ˆ^’h’_’l’`’p’a’t’b’x’”’|’Œ•’ˆ’Í’ˆ2ŒÎ’ ’Ð’¬Ü††ˆŒ!†” system‰list’‡]=’‡‰’†ü‰’†ø‰’†ô~[PÂŽŽž¾ ¤@PÂŽŽž¾ þ@þ€þÀÿÿ@ÿxPÂPŽŽž¾ þ@þ€þÀÿÿ@ÿx‡¸PÂŽŽž¾ þ@þ€þÀÿÿ@ÿx‡¸PÂŠŽž° ††a†F seq_histb†NewFoldeŠ]ˆ3 ’ systemä]l†0’^]=” –˜††î<ˆxö<þxìðÒ´ emPÂŠŒsystˆä]list’^]= ö<þxþ´<† ††††’’,† †0†@†@PSheet1úº™^Š2ž3ž 4ž 5ž ‡›ŠX3D´|PSheet1èº™^Š2ž3ž 4ž 5ž ŒH3D Šˆi™” ™†Š Ž Š8¸Dkäûx†††$’S’\¢œ†jD²<‡Žh†(žŽ `–PÝÆ$´$“$–p”x”,ˆˆ ™€ 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the asymptote.Ž[Œ&In†"†'case, x=1 and Žx=-†r†BlsoŠKŒ] vertical”[s”\ˆ½V$A–"‰T f(x)=Ž€xŒÎ2ŒÖ+3´-2× ”Gx3Œ+3Œx-Ž2î’”+’\ŒE CalculatorËˆW†[ßˆa†eÄRˆmŽC”2”Œ‘ rFac†I(¢$-2)R’IžH+×†Ï’oŽì”×–Ö %”ÞŠ´'ŒÊÀSGraph2D,† †Š3Š@†ˆLISTSYSˆL4N†Modify†;€†($ˆ<STATCALC¤†Uˆ(ˆŒ<¬\ˆ<Sequence†<,ˆxSheet†Š4†|’ŠŒ°’olveEq†´ˆ´Lwr0†Í(Upˆ<’tupFLG1H†<(Š<†Lis†{p†dD‰ˆPic†´ÜViewWindØ†‰,äŠ±‡@ôxäŠ ŠŒä( ä<´äP$Èäd’ÜäŽx <†ä† † H’’T’’`’’l’’x’’„’’’’œ’’¨’ ’´’!’À’"’Ì’#’Ø’$’ä’%’ð’&’ü’'‘@’(‘T’)‘hˆ¾Œ*‘|,’+‘8’ˆ‹§D¸†ä-†P† †.’\’0’h’1’t’2’€’3’Œ’4’˜’5’¤’E’°’F’¼’H’È’I’Ô’J’à’K’ì’L’ø’M‘,’N‘@’O‘T’‰^‹k(’Q‘|‰ŒR‘@’S‘¤ˆ–ŒT‹¸X††ä]††d† ˆ^’h’_’l’`’p’a’t’b’x’”’|’Œ•’ˆ’Í’ˆ2ŒÎ’ ’Ð’¬Ü††ˆŒ!†” system‰list’‡]=’‡‰’†ü‰’†ø‰’†ô~[PÂŽŽž¾ ¤@PÂŽŽž¾ þ@þ€þÀÿÿ@ÿxPÂPŽŽž¾ þ@þ€þÀÿÿ@ÿx‡¸PÂŽŽž¾ þ@þ€þÀÿÿ@ÿx‡¸PÂŠŽž° ††a†F seq_histb†NewFoldeŠ]ˆ3 ’ systemä]l†0’^]=” –˜††î<ˆxö<þxìðÒ´ emPÂŠŒsystˆä]list’^]= ö<þxþ´<† ††††’’,† †0†@†@PSheet1úº™^Š2ž3ž 4ž 5ž ‡›ŠX3D´|PSheet1èº™^Š2ž3ž 4ž 5ž ŒH3D Šˆi™” ™†Š Ž Š8¸Dkäûx†††$’S’\¢œ†jD²<‡Žh†(žŽ `–PÝÆ$´$“$–p”x”,ˆˆ ™€ `”˜$’.ˆ>(1…0qy`ˆH#Y‡uYƒ†U ˜–0–šH®Æ$ÊHš©š¶´¨5°´þaþ ‰¼†Œ˜ °˜’®`–$ ™†OŠq\Š;GraphÌˆ$†ÊŒøSGraph2D@† †Š3ŠT†ˆLISTSYSˆ`4N†Modify†;”†($ˆ<STATCALC¸†Uˆ(ˆŒ<À\ˆ<Sequence†<,ˆxSheet†ŠH†|’ŠŒÄ’olveEq†´ˆ´LwrˆÍ(UpˆP’tupFLG1\†<(Š<†Lis†{„†dD‰ˆPic†ÈÜViewWindì†‰,y†JŠ³†¹$†¹†ä’,Œä’8 ä’’´ä’’´ä’ˆ´ŠÜäŽx h†ä† † t’’€’’Œ’’˜’’¤’’°’’¼’’È’’Ô’’à’ ’ì’!’ø’"ð’#‘’$‘ˆªŒ%‘,(’&‘@4’'‘T@’ˆ2‹kL’)‘|X’*‘d’+‘¤p¸†ä,†|† †-’ˆ’.’”’0’ ’1’¬’2’¸’3’Ä’4’Ð’5’Ü’E’è’F’ô’HÜˆåŒIð’J‘’K‘$’L‘,ˆúŒM‘@<’N‘Tˆ‚ŒO‘hT’P‘|`’Q‘l’R‘¤x’S‹¸„††äT††’]’œ†- ˆ^’ ’_’¤’`’¨’a’¬’b’°’”’´’Œ•’À’Í’Ì’Î’Ø’Ð’äð††ˆŒ!†” system‰list’‡]=’‡‰’†ü‰’†ø‰’†ô~oPÂŽŽžº PÂˆŽž¾ î8þpþ°þðÿ0ÿp¡°PÂ†ŽŽž¾ þ@þ€þÀÿÿ@ÿx‡¾PÂŽŽž¾ þ@þ€þÀÿÿ@ÿxPÂŽŽž¾ ”††a†W seq_histb†NewFoldeŒn† ’ systemä]l†0’^]=” –¨††î<ˆxö<þxìðª´systemä^]=PÂŠŒ’,]listö<ö<þxÈð††††’’,† †0†@†@PSheet1úº™^Š2ž3ž 4ž 5ž ŒH3DŒ|† †0†@†PSheet1èº™^Š2ž3ž 4ž 5ž †lŠX3D†v Š†i™” ™††Š Ž Š8¸Dkäûxˆ¹†°ˆÀ††$’S’\¢œ†jD²<‡Žh†(¦d‡G3x(x^2+3)/ˆ-2)Œ?Ž'`–P‘Æ$®$†–Ž9î`”–I5I5†B ˜È0k9î(1…0qy`ˆT#Y‡uYƒ†l ˜–˜œ’xˆœ Æ$ÊH’’¤È%°´þa˜ †Œ˜ °à1¨a’® `1W‰G6„† ™†PŠ"[Š>x=Œ 2Ž and x=-’Œ are Œ8the 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þ@þ€þÀÿÿ@ÿxPÂŽŽž¾ ”††a†W seq_histb†NewFoldeŒn† ’ systemä]l†0’^]=” –¨††î<ˆxö<þxìðª´systemä^]=PÂŠŒ’,]listö<ö<þxÈð††††’’,† †0†@†@PSheet1úº™^Š2ž3ž 4ž 5ž ŒH3DŒ|† †0†@†PSheet1èº™^Š2ž3ž 4ž 5ž †lŠX3D†v Š†i™” ™††Š Ž Š8¸Dkäûxˆ¹†°ˆÀ††$’S’\¢œ†jD²<‡Žh†(¦dˆ3xx^2+1ˆ3Ž`–PõÆ$´$“<††p `””$– ™€”0”œ0’†h(1…0qy`ˆT#Y‡uYƒ†~ ˜”„–šHª„Æ$ÎHš©š¶´¨5°´þa° †Œ˜ °à1 ’®`–$ ™†PŠ\Š; CalculatorËˆ)†ßŽÁ`Rˆ/Œ/fac†+(xŒ@2ŒH+1)RŒYx+îŽ6î’’-îŠQŒ‹(¬N(°FinaForm¸$N†Graph2D†Ü†& 3ŠðˆLISTSYSˆü†@4ˆ<Modify 0ˆPˆ<STATCALC TˆdˆŒ< \\ˆxSequenceˆŒ,ˆxSheetˆOä|’ŠŒ`’o lveEqˆˆ´†~`wràˆ´(Upˆì’tupFLG1ø(Š<†Lis†{ D‰ˆPic†dÜViewWin†ˆˆŒ_osve†v‡4¤xä‰‰°Œä’¼ ä’È´ä’ÔÈäŽP à‰ †ä† † ‡^†— ’ø’†¬!’<’P’d(’†u4’ˆ2Š@’†rL’†rX’†rd’ Üp’!ð|† "‘ˆ† #‘”† $‘, † %‘@¬† &‘T¸† '‘hÄ’‰‹Ð†)‘Ü† 0*‘¤è¸†ä+†ô† †,ˆŒ-(†„.<† 0P$† 1d†%†%2x<†3ŒH† 4 T† 5´`† EÈl† F†Öx’ˆZŠó„†ŽI†Ö† J†Öœ† K†Ö¨† L†Ö´† M†ÖÀ† N†ÖÌ† O‘|Ø† P†Öä† Q†Öð‡0R‹¸†Öü††Ñ†å S††‡Oˆ˜†]‡[ †A ˆ^†ˆÖ_†(†ˆ´,†a†0†b†4†‰u8’Œ•†D†Í†P†Î†\†‰hh†×‡¸t’Ø†€†Ù†Œ†Ú†˜†Û†K¤‘h Financial‡‚Forma†n †ˆ† †ˆŒE‡¥” systemä]listˆŠ^]=’_Œ†`Šaˆ" b~PÂŽŽž¾ þ@þ€þÀÿÏ@ÂŒP 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