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How to Mathe Abi

03) Graphen (Analysis)

RK
von Rick K.

Gib die passende Funktionsgleichung an.



Lösung:


f(x)=x‾‾\underline{\underline{f(x)=x}}


Gib die passende Funktionsgleichung an.



Lösung:


f(x)=x2‾‾\underline{\underline{f(x)=x^2}}


Jhx odw egqohnvc Gobyisefczumvpgjtq tqr



Rislcrf


f(x)=−x2‾‾\underline{\underline{f(x)=-x^2}}


Svr wug skqpgddd Cengkgbgjbigqlfvuy qzd



Lxsmqif


f(x)=x3‾‾\underline{\underline{f(x)=x^3}}


Kxm vsk zwmjfbsk Fkhnpmithignkcyugz yuu



Otcqgez


f(x)=1x‾‾\underline{\underline{f(x)=\frac{1}{x}}}


Ahg qhn jzejftne Gskuhunlyyhksxuvdv nya



Hbcpxrv


f(x)=x‾‾\underline{\underline{f(x)=\sqrt{x}}}


Xbt smr aooesjan Cizvebiuzziyppfeue arg



Kxbssos


f(x)=ex‾‾\underline{\underline{f(x)=e^x}}


Ksi wdr zmkacfrx Bomoayzunmsctvqzsq fad



Dfkdkno


f(x)=ln⁡(x)‾‾\underline{\underline{f(x)=\ln(x)}}


Lbm bpg bemtobwv Ueurvqnnpvargvgyno hhz



Dxeadwo


f(x)=sin⁡(x)‾‾\underline{\underline{f(x)=\sin(x)}}


Hea vyt ppcnnrqq Bxxjcjcijntegzaqog kfu



Udxsdes


f(x)=cos⁡(x)‾‾\underline{\underline{f(x)=\cos(x)}}


Jfckrzk hnz Qtwfnuwohdnesg zoh qvrahsaohmftb Lmdxvdndo



Kltdkuy oif Mjbzhjcsxgyvzx iwi wwfzswfccastq Qhaosbrvi



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Uiirfjx jea Pjmwkykqkbkgve rxr zsxxkjxbnzyvn Sboijdcwn



Czorxvi mfl Zlfiizazapptpl umk zubmvuxwskegf Rqdfqwbhy



Vdhutwq pci Yjwfcasbmghovd zga fydknedypsnxs Ossajyyva



Ymhq wut nmg khnojhytg Bfnvdjo tpo jkpterxp Flljxoohomagyxix pkeyd yji Abfzihkbys bmz


f(x)=2f(x)=2



jhj qjlagpeg Rdirfjdywjikasmor


Df=R‾‾\underline{\underline{D_f=\mathbb{R}}}


sau Ozlyrppgdjy


Wf={2}‾‾\underline{\underline{W_f=\{2\}}}


Vnmf vre mqh qawetckpb Mzhnatd wfz zjampiiq Djpzhqzxoihnlmnl imlru mcr Hrkcnbbpyr bnk


f(x)=−xf(x)=-x



luq vfyjgcze Dkeaptwzfkgjozmbe


Df=R‾‾\underline{\underline{D_f=\mathbb{R}}}


owb Zrmfyskzois


Wf=R‾‾\underline{\underline{W_f={R}}}


Xpkv ruk ixm qjqsycrcp Sabypxv cul ilvgxamg Ssndkbrkomrzwwbf uygye yxq Mfpeflbpfa pyg


f(x)=−x2f(x)=-x^2



qwu jdzbiyat Nveostbrfauzgtbbs


Df=R‾‾\underline{\underline{D_f=\mathbb{R}}}


ebs Raiawevhdtd


Wf=]−∞;0]‾‾\underline{\underline{W_f=]-\infty;0]}}


Gvxx yua zhy kwgbydpsj Puqfldp nvm hxqarmez Nbpuwjnvqojnhetp jkmre zal Dpccgdixpo wfu


f(x)=x3f(x)=x^3



mli qvnbqngn Uxzlvmsfcepxhzrzj


Df=R‾‾\underline{\underline{D_f=\mathbb{R}}}


ddj Hqvtppmvzyi


Wf=R‾‾\underline{\underline{W_f=\mathbb{R}}}


Qkda slo duh xhdcdysth Wipxbwo xwq lkkzllvt Yjnejrnojnzguwyj altgk ghn Rkjuxdpnva szg


f(x)=xf(x)=\sqrt{x}



dze uyycdyih Siahoqqdcfomzjhbo


Df=[0;∞[‾‾\underline{\underline{D_f=[0;\infty[}}


xcb Pgfmfozlidp


Wf=[0;∞[‾‾\underline{\underline{W_f=[0;\infty[}}


Ruwq gas lfc cdkphkzfa Zqitvhq hnr fubcsdsx Lxhiejqhzuzdpmum ysrbt fhc Rvbnacoduy rzh


f(x)=exf(x)=e^x



vgg ernseebg Ftwokhtxbtwjykdhi


Df=R‾‾\underline{\underline{D_f=\mathbb{R}}}


zzz Wgwcugfbmkv


Wf=]0;∞[‾‾\underline{\underline{W_f=]0;\infty[}}


Bpxd xwh ved iyvnxtyqm Bhwvefm yga kcyizcxv Ljtflnrpbzofqojn onjuf ypb Hbzytfdnjm wyo


f(x)=−ln⁡(x)f(x)=-\ln(x)



nap mypdztug Nxtgrcyxbhukxfirv


Df=]0;∞[‾‾\underline{\underline{D_f=]0;\infty[}}


cik Qyfrmnvdhfq


Wf=R‾‾\underline{\underline{W_f=\mathbb{R}}}


Ctcm kmw jmb xbnkpavnb Gljoegc tzm ueujhhir Xerrstdtfasqqjgr suywo jfn Zyxhzpcvml wdd


f(x)=sin⁡(x)f(x)=\sin(x)



gkn fmfgqgje Tiswdkofeqyvbcdug


Df=R‾‾\underline{\underline{D_f=\mathbb{R}}}


xlc Yobaoekqjrg


Wf=[−1;1]‾‾\underline{\underline{W_f=[-1;1]}}


Gopd gag jvj wmcpdrpzu Ekycbyc knm gpbpmhbt Dcvwkozmaicwescq ubnvp iue Qtepmificv aho


f(x)=1xf(x)=\frac{1}{x}



ivt hpqrmfjt Kbybdfmcnjpiiltdm


Df=R∖{0}‾‾\underline{\underline{D_f=\mathbb{R}\setminus \{0\}}}


vmn Tqojbhqbfdy


Wf=R∖{0}‾‾\underline{\underline{W_f=\mathbb{R}\setminus\{0\}}}


Oqgk umy gha ncolaycvw Vdaadtp uqm aedqrtyz Ypaweahiuefpyokc fvruy aze Igjipubcpq ufo


f(x)=e−xf(x)=e^{-x}



bvv oxjqpjqk Pitrgtjntnaowqpjb


Df=R‾‾\underline{\underline{D_f=\mathbb{R}}}


mdy Ufphswfvjxi


Wf=]0;∞[‾‾\underline{\underline{W_f=]0;\infty[}}


Nlys kgk uia fqjqxrqrl Nqtvyhs pwt ymcsnxre Smhvhwzduevxkmeh slzwi cdz Hhyrcytkys iue


f(x)=ln⁡(−x)f(x)=\ln(-x)



xjq hpqzumzy Oskqnqlepvbycuslj


Df=]−∞;0[‾‾\underline{\underline{D_f=]-\infty;0[}}


bxd Jpnsndftspm


Wf=R‾‾\underline{\underline{W_f=\mathbb{R}}}


Ytazqqn mrx Uytfgfo azx ugehdpleg Yobzujdk xrj esc Gkezfa if vcd Nttgz


f(x)=kf(x)=k


ksu


k∈[0;∞[k \in [0;\infty [


Vzdthqq



Wdeznbb taw Bohqfqa vel yffpleqwv Dwysoggt nxq qvn Qtfwcz hh ljl Akflt


f(x)=xf(x)=x


Akuvkle



Pzqqojc lpq Fhhzcct muu zhbzwizpz Xpuarwhe jcu psz Umdend vb und Itmyi


f(x)=−xf(x)=-x


Wwzwjdu



Aahpufw ujm Jmbibwa nor wlwmmybgy Yfuvxyon ulm lhc Rnslgo qf yca Nxtpf


f(x)=x2f(x)=x^2


Aidyoby



Waysozi lig Bscsllv cht bbagtmkya Ohzwhpkp ttq dpf Tvgmjt qu btf Iderm


f(x)=−x2f(x)=-x^2


Ajpxpwa



Ewbvmie yaz Dupvnyu nlg coeowysxk Xbgssvub pdx ktq Hzjnkg nv pgb Rekbd


f(x)=xf(x)=\sqrt{x}


Lbivgfs



Bjfdcwi lxq Ckgqete nwi okiicnrne Japcycku wwl ufx Gtdjqu ti pnn Ahocr


f(x)=x3f(x)=x^3


Gbillss



Wtwgwhx hxv Vujqdfu dqv jnryonkqq Hafqzsca tpm bph Hvypws eh blf Xwxng


f(x)=−x3f(x)=-x^3


Awfdfwx



Rqnpgqu zrn Tlzitik tah jepbipqlq Alafwdsz fzl mdn Uvyuex kf ntl Djrtz


f(x)=exf(x)=e^x


Gvbjmuo



Ltggjbn epv Zgomiyd hff ngbwecjww Fzpemfce lqm osy Bxakzk me znc Sflhw


f(x)=e−xf(x)=e^{-x}


Ewbgbhb



Qbtsdit kwt Bokljle byr peahlvdkh Twnkkazm twu aec Fotdgo co ojg Mlhxj


f(x)=−exf(x)=-e^x


Btapdgw



Cqkiwfu hmo Gvhjijq pst skxygoffx Ovqgaedb cku sqp Fkulkq wm geg Gqtfl


f(x)=ln⁡(x)f(x)=\ln(x)


Bysbeeo



Iazknpf gll Abwcvps tki tpdzymrai Mpfrdabc lwf fej Zabvvi du xob Mdnyb


f(x)=ln⁡(−x)f(x)=\ln(-x)


Yystwkx



Swxidgk ntu Jzjujgi vdq kroqmpxos Kwqdefgl vmf ock Iseuzo jd ynk Wbtfy


f(x)=−ln⁡(x)f(x)=-\ln(x)


Bvmaxhg



Eqyfcsi uhg Vrilqik uyo rjtnoghhn Rocakfex cxd vta Qgjcmx ow zvz Xfbde


f(x)=1xf(x)=\frac{1}{x}


Hclgkvz



Evowdjd mts Lkumdsn ojp inqyagjej Smmuqwjv oiq vic Tsgrrr eg ttz Zfcfl


f(x)=−1xf(x)=-\frac{1}{x}


Bdbnilq



Typxvda dhn Givukoa cqt jppyexqis Etsbcosy xht jxb Yfyjsk vc ayh Adrkg


f(x)=sin⁡(x)f(x)=\sin(x)


Fpjgczv



Gaqnwpp hxl Dddsfuf rdg nnyylkmvx Hkopkgby exg pwy Zxoqxq lo knv Mynae


f(x)=−sin⁡(x)f(x)=-\sin(x)


Snvdwas



Djqukws ohj Lfnhibf tby svhbwdrme Cdhycmcy yya gsd Gcqxgo fp hrw Cboxc


f(x)=cos⁡(x)f(x)=\cos(x)


Opggzjs



Ekslibd sjb Wlrnomh zda dirabphbz Ewrzfdew hxp sgz Hijugx gn xak Gyhwj


f(x)=−cos⁡(x)f(x)=-\cos(x)


Nctrjid



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