4 G Sketch the graph of the X2 2 Domausers.metu.edu.tr/gtop/Math119 section 94 week...
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4 12.2020 G Sketch the graph of the follow! ng funct ! on X2_2 f Doma! n 1 Intercepts 15 7 Pe Asymptales !s a l ! ne f cennet Yasympleks YAA suchthat f comes nearer 0A ! nformal as a l ! m! t but not ! ntersect f'a f G!t po!nts ü ğ f f ! nfkar la III Ka ! s vert ! cal "" a.mn II II sözüezar!zam funct ! on may cut ha I I Üz f Caxtb I y axtb f " Caxtb 0 then y axtb ! s obl!ge asymptale
Transcript of 4 G Sketch the graph of the X2 2 Domausers.metu.edu.tr/gtop/Math119 section 94 week...
4 12.2020
G Sketch the graphof the follow!ng funct!onX2_2 f Doma!n
1 Intercepts 15 7Pe Asymptales !s a l!ne f cennet Yasympleks YAA
suchthat f comes nearer 0A!nformal as a l!m!t but not!ntersect f'a f G!tpo!nts
ü ğ f f !nfkar
la IIIKa !s vert!cal
"" a.mn
II
II sözüezar!zam
funct!on may cut ha
I I Üz f Caxtb
I
y axtb f" Caxtb 0
then y axtb !s
obl!ge asymptale
4 XZj.f" fkXl 2X 2Cx M 1 CxI zx zl
1 2
X 21 2
f 2
x Pk"ö "n" L wa
Put yaa 2 2 0
1 2tl 0 no X !nterceptsy !ntercepts !thepo!nt f cuts they ax!s
O y 2
Asympt Vert!cal asym.pk
e"IfX1denomrnateoraff"szsa4 1 B a cand!date we need proof
k"m o k"so the l!ne K 1 !s vert!cal asymptate
Hor!zontal asymplak pro 1l!mk ETT.f" Östak"
veİÜ4 Eeta.at E
2 2 1 a tod 1 It T
HM 1 11 f"z o 5 1 !s
obl"gueasymp.f"z flxI X l'l 0 Y CMobI!gueasymp
f x 211 2
fly O 0 or 2at 1 f !s undef!ned
f f IF !ncea!yontoo and K!a
üç üçü
i
a 2 local na
f 2 f W o far any at xd undef!nedx P
tp ta II
1ft of!s M Uconcavedown concav!ty changes
but we cannotyar draw alagent l!neso no !nflect!on po!nt
X !nterceptss!gn µ
!! fO_0
ğ d k 1 dats
E.IN
y2 I ayet y!
"""r" a
naa!z
ETTI1 VA If 1 l!ka
Q sketch the graph of the funct!on ya
f D a!nf 10 no 913 0,17 VII rol
Ir!s X O so no y !ntercept
"ty O O not poss!ble
no !nterceptsm o atk!satç!dasyütüsal
We checked o s!na.!t!svert.asyr.pt for hso I thought !t wouldbe a spec!alplace but apparently
ÜÜhelp us about the graph sketch!ng
forAA tw ana Keffak
İLEv!tütün
f'Wkr!z
hµ 1 e
f !f e µK 1 maket f urdehud 9
f Ge e !s local m!n localm!n
f IKNA Ank! 22 LX
bu 3 hxP
f 2 lnX uolnk.la atx 1 denom!natorX ez !z zero
0 1 öf
canav!f M U!nflect!on po!nt Iı Iı
µ
O 1 e ezs!gn f
monoton!c!lyofff put !ntercepts
s!gn f putasymptotesl!nes
concav!ty off 4 On put m!affk!f!ahow f L d r
put these w.!tlooks ı 2 3afynpleksfnaxm.mnend !nflectedConnecteveryth!ng44
b
Hz k fĞn3
C ıI I1 I
Iı ı
İe k
74 O1fj flxl.!o
Exerc!se Sketch the graphof the follow!ngfunct!ons
a f 3 41 b f 253 5 43
2 1
c ftp.xe ttxeth"sone !s tr"cky aboutobl!que asymptele
h"ntforobl"gueasympofpartayou
can catch that ğe 1 so 4x
look l!ke y X as shape but
zH e _a al!m e ı e
ve
e ı 1
f"nof o !t!st so check FM 1
wh!ch !s O sef"zflxl CIIIoyx tobl!gueasyn.peExerc!ses
Tar
