AndengradspolynomietEn funktion af typen 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, hvor a er et tal forskellig fra 0, og b er c er vilk\303\245rlige tal, kaldes et andengradspolynomium. Grafen for et andengradspolynomium kaldes en parabel.<Text-field style="Heading 1" layout="Heading 1">1. Grafen for et andengradspolynomium</Text-field>Et andengradspolynomium er givet ved 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.a) Udfyld nedenst\303\245ende tabel ved at udregne de forskellige funktionsv\303\246rdier.
b) Inds\303\246t punkterne fra tabellen i et koordinatsystem p\303\245 milimeterpapir. c) Tegn nu grafen for LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEiZkYnLyUnZmFtaWx5R1EoQ2FtYnJpYUYnLyUlc2l6ZUdRIzE0RicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGL0YyRjgvRjxRJ25vcm1hbEYn ved at tegne bl\303\270de buer mellem punkterne, s\303\245 det kommer til at ligne en parabel. Du m\303\245 ikke benytte en lineal. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbW9HRiQ2LlEifkYnLyUnZmFtaWx5R1EoQ2FtYnJpYUYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNy8lKXN0cmV0Y2h5R0Y3LyUqc3ltbWV0cmljR0Y3LyUobGFyZ2VvcEdGNy8lLm1vdmFibGVsaW1pdHNHRjcvJSdhY2NlbnRHRjcvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZGRi8vJStleGVjdXRhYmxlR0Y3RjI=<Text-field style="Heading 1" layout="Heading 1">2. Konstanterne i forskriften</Text-field>Afg\303\270r v\303\246rdierne for LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEiYUYnLyUnZmFtaWx5R1EoQ2FtYnJpYUYnLyUlc2l6ZUdRIzE0RicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGL0YyRjgvRjxRJ25vcm1hbEYn, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEiYkYnLyUnZmFtaWx5R1EoQ2FtYnJpYUYnLyUlc2l6ZUdRIzE0RicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGL0YyRjgvRjxRJ25vcm1hbEYn og LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEiY0YnLyUnZmFtaWx5R1EoQ2FtYnJpYUYnLyUlc2l6ZUdRIzE0RicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGL0YyRjgvRjxRJ25vcm1hbEYn for hver af andengradspolynomierne nedenfor: a) 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) 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c) 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d) 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<Text-field style="Heading 1" family="Cambria" layout="Heading 1"><Font family="Cambria">3. Betydningen af tallet <Font italic="true">a</Font></Font></Text-field>Vi skal nu se p\303\245, hvad tallet a betyder for grafen for andengradspolynomiet 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.\303\230velse 3aFiguren viser grafen for 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. Dvs. b og c er 0. Graferne for funktionerne af typen 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 kaldes grundparabler. Du skal \303\246ndre v\303\246rdien af a ved at tr\303\246kke i skyderen under grafen.
#
# The following code is autogenerated by the Explore command. Do not edit.
#
Explore:-Runtime:-Update( plot(a*x^2,x = -2 .. 2,view = -5 .. 5), ':-Plot0', [':-a'], ':-sliders'=["Slidera"], ':-labels'=["Labela"],':-isplot'=true);
#
# End of autogenerated code.
#
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=(a) Hvilken sammenh\303\246ng er der mellem v\303\246rdien af a og grafens udseende.Hint: I svaret skal I anvende f\303\270lgende ord/begreber:- Grenene opad / glad parabel- Grenene nedad / sur parabel- Stejl / mindre stejlLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=\303\230velse 3bNedenfor ser du graferne for 3 andengradspolynomier LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiZkYnLyUlc2l6ZUdRIzE0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjZRJ25vcm1hbEYn, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiZ0YnLyUlc2l6ZUdRIzE0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjZRJ25vcm1hbEYn og LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiaEYnLyUlc2l6ZUdRIzE0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjZRJ25vcm1hbEYn. Afg\303\270r fortegnet for LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiYUYnLyUlc2l6ZUdRIzE0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjZRJ25vcm1hbEYn for hver af de tre. LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=<Text-field style="Heading 1" family="Cambria" layout="Heading 1"><Font family="Cambria">4. Betydningen af tallet <Font italic="true">c</Font> </Font></Text-field>Vi skal nu se p\303\245, hvad tallet c betyder for grafen for andengradspolynomiet 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 .\303\230velse 4aVi ser p\303\245 det andengradspolynomium hvor a = 1 og b = 0, dvs. 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.Figuren nedenfor viser grafen for 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. Du kan \303\246ndre v\303\246rdien af c ved at tr\303\246kke i skyderen under grafen.JSFH
#
# The following code is autogenerated by the Explore command. Do not edit.
#
Explore:-Runtime:-Update( plot(x^2+c,x = -5 .. 5,view = -11 .. 11), ':-Plot6', [':-c'], ':-sliders'=["Sliderc3"], ':-labels'=["Labelc3"],':-isplot'=true);
#
# End of autogenerated code.
#
JSFH(a) Hvilken sammenh\303\246ng er der mellem v\303\246rdien af c og grafens udseende?Hint: I svaret skal I inddrage f\303\270lgende begreb:- Lodret parallelforskydning\303\230velse 4bFiguren viser grafen for 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. Du kan \303\246ndre v\303\246rdien af c ved at tr\303\246kke i skyderen under grafen.
#
# The following code is autogenerated by the Explore command. Do not edit.
#
Explore:-Runtime:-Update( plot(-1/2*x^2+2*x+c,x = -5 .. 8,view = -10 .. 15), ':-Plot2', [':-c'], ':-sliders'=["Sliderc1"], ':-labels'=["Labelc1"],':-isplot'=true);
#
# End of autogenerated code.
#
(a) Hvilken sammenh\303\246ng er der mellem v\303\246rdien af c og grafens udseende?Hint: I svaret skal I inddrage f\303\270lgende begreb:- Lodret parallelforskydningJSFH\303\230velse 4cNedenfor ser du graferne for 3 andengradspolynomier LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiZkYnLyUlc2l6ZUdRIzE0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjZRJ25vcm1hbEYn, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiZ0YnLyUlc2l6ZUdRIzE0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjZRJ25vcm1hbEYn og LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiaEYnLyUlc2l6ZUdRIzE0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjZRJ25vcm1hbEYn. Afg\303\270r fortegnet for LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiY0YnLyUlc2l6ZUdRIzE0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjZRJ25vcm1hbEYn for hver af de tre. <Text-field style="Heading 1" family="Cambria" layout="Heading 1"><Font family="Cambria">5. Betydningen af tallet <Font italic="true">b</Font></Font></Text-field>Vi skal i det f\303\270lgende unders\303\270ge betydningen af tallet b. Vi viser to m\303\245der at anskue situationen p\303\245.JSFHInden vi g\303\245r videre, forklarer vi kort hvad toppunktet er.Figuren viser graferne for hhv. 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 og 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. 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LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbW9HRiQ2LVEifkYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy8lJmZlbmNlR1EmZmFsc2VGJy8lKnNlcGFyYXRvckdGNC8lKXN0cmV0Y2h5R0Y0LyUqc3ltbWV0cmljR0Y0LyUobGFyZ2VvcEdGNC8lLm1vdmFibGVsaW1pdHNHRjQvJSdhY2NlbnRHRjQvJSdsc3BhY2VHUSYwLjBlbUYnLyUncnNwYWNlR0ZDLyUrZXhlY3V0YWJsZUdGNEYvLUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=P\303\245 graferne er koordinaterne til toppunkterne markeret. Toppunktet for LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiZkYnLyUlc2l6ZUdRIzE0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjZRJ25vcm1hbEYn ligger i punktet 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 og toppunktet for LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYlLUkjbWlHRiQ2JlEiZ0YnLyUlc2l6ZUdRIzE0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnLyUrZXhlY3V0YWJsZUdRJmZhbHNlRicvRjZRJ25vcm1hbEYn ligger i LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2I1EhRictSShtZmVuY2VkR0YkNiUtRiM2Jy1JI21uR0YkNiVRIjJGJy8lJXNpemVHUSMxNEYnLyUsbWF0aHZhcmlhbnRHUSdub3JtYWxGJy1JI21vR0YkNi5RIjtGJ0Y4RjsvJSZmZW5jZUdRJmZhbHNlRicvJSpzZXBhcmF0b3JHUSV0cnVlRicvJSlzdHJldGNoeUdGRC8lKnN5bW1ldHJpY0dGRC8lKGxhcmdlb3BHRkQvJS5tb3ZhYmxlbGltaXRzR0ZELyUnYWNjZW50R0ZELyUnbHNwYWNlR1EmMC4wZW1GJy8lJ3JzcGFjZUdRLDAuMjc3Nzc3OGVtRictRjU2JVEiNEYnRjhGOy8lK2V4ZWN1dGFibGVHRkRGO0Y4RjtGZW5GOw==. Groft sagt er toppunktet det laveste eller h\303\270jeste punkt p\303\245 parablen.<Text-field style="Heading 2" family="Cambria" layout="Heading 2"><Font family="Cambria">Toppunktets placering</Font></Text-field>\303\230velse 5aFiguren viser grafen for 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. Du kan \303\246ndre v\303\246rdien af b ved at tr\303\246kke i skyderen under grafen.
#
# The following code is autogenerated by the Explore command. Do not edit.
#
Explore:-Runtime:-Update( plot(b*x+x^2+2,x = -5 .. 5,view = -8 .. 8), ':-Plot4', [':-b'], ':-sliders'=["Sliderb1"], ':-labels'=["Labelb1"],':-isplot'=true);
#
# End of autogenerated code.
#
(a) Hvilken sammenh\303\246ng er der mellem v\303\246rdien af b og grafens udseende?Hint: Her skal i fokusere p\303\245 toppunktets placering i kvadranterne.MFNWtKUb<ob<R=MDLCdNbxJ>D:XJAqVoB?YWLCTJcDXoXuuvQKDOMy@IXauXEYCEuhOKGjsWNaXi]TDiCLIH^cSneBi]fvyhjWW^MIcgWfORW]gDefLKECSWDOeCMCEwYD[iRAWk[g:MRKKR]CgESS??wHMCloXhMRnyxwIyvqx_ay`MWVGImyTIyxmEHVGessvWWHYYxwssmaiamsuqcceWgeGB?D]=xOcFZ[huCFnWI[:::BH;y@ODrucoghowgxOyY=RSeUWeHS_SNabKiYEQYWQVk?ga?U`iwC]huqTpQyGWEq[te;U`WvcuX==YWocaguGgvoMIXoXYQvXuGeSGMuWcgVtkephPwpuOit_pu?QPWtcYQsXwtXGi>Q`WvcuX]<Ywn_agqgfvoMIxnXqk`qHwrMqw@Qxtf]IWQQxtcEItuv=q]ixiDQxasSXPNllpuK>mYrIvADxqpQiXuunlMPlL@_fxd[i[:Qasfita`XvnaxnuVaufusXpQ_]ineQp`CfwX>nHxxBHb?IxNYl?a[[^puF^nXAZkn]Ywev@iKwr`whhauCYsEYyoytYw_WOqnqxgYuiyqyqiQqoWW]hgpr@qriuqwu?ob@o]v>iJYiYGsexm\\vevawSYpHooIfi^GbYpsH>sBAsRGeSGhlYaT>dswk?wxPqtPayvayQx_YOsMqkHpkYvivIhcGgCA[[If^_f^>\\pWndPodIt]xb@P[Fq]Kou_YwhYpmXpof`ofj?hjGgcGGdKGdPWooQr?X[j_yYxixIeWgeGahcigJFbywywyx[Hn[Nc[Y[uxsGis[Ip^`n>neAQbB?cBWiuWyRAuRYlavcVggDF[[AsKX^uqxgYwcIwKxueo]x^ibpuwxiyqipohpAwbAgPodPnmpqxpqpn`pBOcCwcIwayoyv`qh>vWQtLQdf^dPoddwbBPrVFtKItMV\\MVZ=VZrv^kolHn[HNabgcPyqsWx`QxlQ`HQggYqrFpq_wRI^GQmFonUypiwmrFh<yrAWglOhLagpVfQ@^E^rKiuHHfOxhSqwranIqurx\\Xn]hQo\\ib?gbJ_]d^wXiqu@qr@]dHvuVsS_ZZ`df_gfOgdOo^qgBonphinp[P?cCGckHiQV[iquwXpsaoeytiXcr^an?wJqjgHZsniTyhQn\\PnxfIu]yxZa\\MV\\]vZUNbsXvoWrdvw;XmB>tA@rCQieqtgvvqFrsQihaus^_BPvDokcIwcg^tAxjAh`of`NpANsa>g>@v;``\\paKfmAHocH_Ba^iQo\\Q[Ahsxyjw?_h``o_uTPu>gjJFa<?ukFaIIfNHmSH]CGhxxZTGqSPdFnovXqpwbtgrXveuphGWqAY]<XlRVqxAykYfK_]^^^^>^sghoghCyd?oa?I_NqtPq^iGcxFjtv]x^iJG`Ziyuyxr_l\\N[WnhsNer_b@^pcqr;OfoXiHXeMWwevd[Fb=_hSWhE>fjgvWQpu`\\sghocEeeNedjoexcYdgg<cGPSCHaE>ABbQfGyfd[CvmhowtiwU]IHkCHKeil=v:IBUgXN]uTAhoSyP[TOAio[ih=X_ixUiUtAGjQy_YsQgUWqDCSgpohPcUPcgbQPi]rF<khPxcPSZ<Q@<KX<YTLMTLMKDL;pMUXxYtLPlL`UlH`uceWMUVjevoAuWdYW\\ty=OEaTaiu_<tuql>hjitkmmvNIoMMOL<NePn]tkX]lDyn:dpW`J@\\MFdL^\\TeExkIxr]YpawSPSTXxmYxHlQWIXeUUULOiQxIaSbYwBun;dU`eMXutXEv;uOADV@UyuaLlPODxQN<STaYd<oEdmJAKkIs`LP[DsBirD\\Q\\EY=ySyQTemR:AsDYqVduyqyuyWcqk>uRAUWYujFMtemoixoi=Wb=rCAVMupSYjXmKlEMtIwd`MDUSEUl?dlIEr[YrAhnhatXen<toXeqL@s>pkleSGekTyMVTSAtMdAqohKCtKItRvYPS`STYsaEJ<dlqaYnuMYtMqat[IrHUNX<vBDndXTQLu>MpVauVewd=oT@XtDoHYQx@PLxOl\\kvPjHPPDMToqWMUTMXvIdXVQm]MkEXk_UUCesU`L=QOiMv^uKXeRGTV_ps;@Ji=J`\\puDNnXQ[::JXXrQYX>mSHmSDAWh@noItSmLEhrqYRZakCdlqipWylPplHmmvDo`@PJHtSmYS\\xc]Pb`qI`wx@qr@uQytQhmWhmLPlllQxlK?itgLxlLQ>ek]HNhaRhItKITolUXqMdtompXieWgePS`STYQOXPlLP\\Qv\\aoPUowIPbPodPkHpkh=Wb=T\\xr@qrdXqjQplPpj?^FA]^okTv`k_ov^b@`tJ^eWix_WfqO_ix^txlQxlYYqqwoppppv^av^^^^>vr:Ot\\Pqe_d<xrWYqqgnF_jfpfmHehAuVV]UVpSxeDojB^sIyseHnM`bAPxlWp[ar>aZFw_=ymmWhmgp]H\\b`qHWq=_ebO[Av`qrAycYTTMUnWlSE@umLPlLPn\\P>xLgMS=]J[\\vMQj<PJgUW[Hn[@YvAykYNWaw`PxSUwZlY]ALZll]pTc\\Of\\sEYs=QKNmugPuWDp>mweyMXlM@MkfxoixTOYkF\\qomV>HjjXXaqSvlWSHXxqu`YSDYWsDpHeXoePdUMSxx<UQtMuZQseawdPS\\el^MolHNHlJXPNtXRb]JX`pn`pGTY<MLW]NLALWQseElbqOm<rZLq]AnRyXe`Ke`qHUq]lYEALx<Oehxn`jPPlLPLNqwLDw_pXAmm?mO@=RlHMchNKiR\\dKkuRs]xQ`npuKTuMb\\nWdPIevWipuiletTZ@NDIRbYWMYOLeX^EXkEx:Ar:`M:DMY=mSHmCpQMpXGyPimu>doIiJAuMuXnvLsBEmlLL@ujfqx=EQc`qxUqqqxpQnb\\lX@Ov]uLQtLPmTPowPP]PWU<j\\LpixoImU;EY=`NEPkMeUwiwhqwHuSIuv_EMqilAmLo=XWimDYwnXy\\Qv\\EWcEotpNZpoO\\YcMX_\\M:dxP`SOAtjpkTEnkHpKpQpUTsEkflKphnlQjEyyXITKETkIwMynxqyxEKdDlKHleXoe@LkDQsDY=asrXWQqOfpplPplaysYxZhxsPQtTQutppyKumMvyxHLOiqQVHk:YstQX`Lj:Mjq<JMLuW@\\uF>::nm=X`K>]?N_Y^rS@[FNZOxxvhusn]XykKXmDYa=Xgq@kSgoPAyrAysHqs`mV`]oQ^nXuyxiyOhlOhj?hjy_y`yLqtPqxpiwUygyhypN`lNt`WxHqsHiv_ivKHlKFiTV\\MVptPqTyuYyeKGd[wiyAxPArMwpBHdswangd[fc;Gb;Nwyfw>h[inev@kGhkGQsDQlkAxBF^RGrfo`QgdOGvr?gqvhjn]XH\\TPsANvOH]Sf`]hy=OphqwhasFacSol;AxeWgeOxIfdRGqb@oBon@GlkAxBpbTqtrV\\;flI>guX^J@nYwklxcOgkJPduyhgOZDPrpqxpij?hj[Hn[`yvayIqsoY\\>ImB>ov?vqgdgn\\E^hVhmWhcB?cRPmTPpyYvSA^Hxjqq[NouInhAwgCNby>ijebQdIeTqub]IvwOCOwx=XSqHKluMulXFDynhoghS_xTHxjqIRAhlDYw`YWwuLBQj=XjipUwPK?ypgUuPatNapwUypETjLN\\LvPioUuQwaxMhyo@PcYP[`xVeUWeQt]xb`J^pr@qr>ar>QkDPkgPoixJAQoLEYyaRqetgMYnAwKLrCPsa`MItwmpKedlqItOHMgupc<WwMJMtvqDkDPk<eSCpON`Q?ERCYQB<ovqNBpw;uyHEMhhyKxsS\\V<Hp;Ir;MqPPsiMmbqkxHTAuRALqGmjtIKt<LZPxxdkhAlUaWpTslESCEKO\\x_Htc`qiXnuquwXY_EJo@nMXlrXLI@R_iyJdu[\\Pa\\rlYKNmuiepuDNnBT:::VqMNbuX<::VjMYtMYdXoehiqUQyyHn>a^:fqXitOiflFmRfuCql_OitOevpi]qrGVk?QvG@]IWqM@b[XpmXpf`oFolw`vrOuW`ZD>oX?d=AiOIxnXak>l]IgqOfZvrMqw>AbHxnWIk;`]IWqMVZsnmpw^@NhvfwH_[^AiTE@KXvGs`UHi]ub?RBwHJIvrmRqMVZ;WqMVZkikuI;=DAiXacboASWQbteEOUivcRWscdmeKieRcreQytCenWIkKcQIWq^qHWqMVZsgmpw^@NxtfwH_;eepuF@hXTimRvtcwh\\seahuCCZksVGI]iTiWthaF:?SDMSLsYuEseIRV_HI_BHsfIueHKUYWSfWhmWtEuH\\WthaFj_EikfqQDfkN=DRuXLTimJLe[::::jJqw>@thyyIUWeUocyUtUYuemVQWkEXKinoix[itIEqmuvH]UV]UZ\\Ms\\wClq`av^aNOxxhhuePodPWdMWNYtLQtL]q\\=ljAPlL@HPuTQUxmYxWb@rfIL_iUXlu;@XLItKITSEUSquXqkaXSEUSaqsWXredV_eVCDKC\\SQpQ:QWopypYuiEpkHpitUx`nTluoXYDMSDpXhqvWYqquv_ifTN]tyvYxiVgGIgl]vBIdwUypixnaxBAEPwbIsEdwpyxIgewKAg\\\\fbp`pn@s;ncIwcyJXCruDCmBE;IIctyOeBMYGocHoeR?eR;ER;rsCUR=Ur;Ir;wZgHSuy`isUWsEYsLGrNYijCuHgEu[fS]ffYuqwWY?IkMrisrfQr?WCr]Wf]WNiEZiCe_iuWbqAhQ?sl;um[e@kgdkUN]T>cr[OBHIe\\Qv\\=g@ot\\Of\\_V?;G??BPOeTOG_YD^STUqITuBe;sAOWYir<YamHYXwQIX<MV[At[XRUlp`dvShsuXKEnXmx>;SCqcWwYpawSauVaehugUkTseypuRsAeR?ebsfoyEy]y[QWtkRC[b?CTVEskcIwcg>uEXkEHasFaC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skal v\303\246re noget i retning af:- Hvis LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYoLUkjbWlHRiQ2KFEiYkYnLyUnZmFtaWx5R1EoQ2FtYnJpYUYnLyUlc2l6ZUdRIzE0RicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRictSSNtb0dGJDYwUSI+RidGL0YyRjgvRjxRJ25vcm1hbEYnLyUmZmVuY2VHRjovJSpzZXBhcmF0b3JHRjovJSlzdHJldGNoeUdGOi8lKnN5bW1ldHJpY0dGOi8lKGxhcmdlb3BHRjovJS5tb3ZhYmxlbGltaXRzR0Y6LyUnYWNjZW50R0Y6LyUnbHNwYWNlR1EsMC4yNzc3Nzc4ZW1GJy8lJ3JzcGFjZUdGVC1JI21uR0YkNidRIjBGJ0YvRjJGOEZCRi9GOEZC ligger toppunktet i .... kvadrant osvJSFHI \303\270velse 5a var LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEiYUYnLyUnZmFtaWx5R1EoQ2FtYnJpYUYnLyUlc2l6ZUdRIzE0RicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGL0YyRjgvRjxRJ25vcm1hbEYn og c begge positive, og det viser sig faktisk, at de ogs\303\245 har indflydelse p\303\245 toppunktets placering! Men det vender vi tilbage til senere.Nu viser vi en anden og hurtigere m\303\245de at afg\303\270re hvad fortegnet for b er.<Text-field style="Heading 2" family="Cambria" layout="Heading 2"><Font encoding="UTF-8" family="Cambria">Tangentens h\303\246ldning</Font></Text-field>\303\230velse 5bFiguren viser grafen for 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, samt den s\303\245kaldte tangent til grafen for f i punktet 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. Tangenten er den linje, der r\303\270rer grafen i punktet.
#
# The following code is autogenerated by the Explore command. Do not edit.
#
Explore:-Runtime:-Update( plot({b*x+2, b*x+x^2+2},x = -5 .. 5,view = -8 .. 8), ':-Plot5', [':-b'], ':-sliders'=["Sliderb2"], ':-labels'=["Labelb2"],':-isplot'=true);
#
# End of autogenerated code.
#
%;(a) G\303\270r rede for, at alle grafer for f, uanset v\303\246rdien af b, sk\303\246rer y - aksen i 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.Hint: Hvad er y n\303\245r x = 0?(b) Hvilken sammenh\303\246ng er der mellem fortegnet for tangentens h\303\246ldningstal og fortegnet for b?
Fortegn for bPositivNegativNulH\303\246ldningstal for tangenten i (0,2)JSFHJSFHJSFH
LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYjLUkjbWlHRiQ2I1EhRic=Skriv tre regler, som forklarer betydningen af LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEiYUYnLyUnZmFtaWx5R1EoQ2FtYnJpYUYnLyUlc2l6ZUdRIzE0RicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGL0YyRjgvRjxRJ25vcm1hbEYn, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEiYkYnLyUnZmFtaWx5R1EoQ2FtYnJpYUYnLyUlc2l6ZUdRIzE0RicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGL0YyRjgvRjxRJ25vcm1hbEYn og LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2KFEiY0YnLyUnZmFtaWx5R1EoQ2FtYnJpYUYnLyUlc2l6ZUdRIzE0RicvJSdpdGFsaWNHUSV0cnVlRicvJStleGVjdXRhYmxlR1EmZmFsc2VGJy8lLG1hdGh2YXJpYW50R1EnaXRhbGljRidGL0YyRjgvRjxRJ25vcm1hbEYn for grafen for en andengradspolynomium i kassen nedenfor:
a:b:c:
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Afg\303\270r fortegnet for LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUkjbWlHRiQ2J1EiYkYnLyUnZmFtaWx5R1EoQ2FtYnJpYUYnLyUlc2l6ZUdRIzE0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRi8vJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GOVEnbm9ybWFsRic= for hver af de tre ud fra grafernes udseende. Skriv en forklaring for hvert af fortegnene. <Text-field style="Heading 1" family="Cambria" layout="Heading 1"><Font encoding="UTF-8" family="Cambria">7. \303\230velse </Font></Text-field>Figuren viser graferne for fire andengradspolynomier LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYmLUkjbWlHRiQ2JlEiZkYnLyUnZmFtaWx5R1EoQ2FtYnJpYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GLzYmUSIxRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy9JK21zZW1hbnRpY3NHRiRRJ2F0b21pY0YnRjIvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GOVEnbm9ybWFsRic=, LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYmLUkjbWlHRiQ2JlEiZkYnLyUnZmFtaWx5R1EoQ2FtYnJpYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GLzYmUSIyRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy9JK21zZW1hbnRpY3NHRiRRJ2F0b21pY0YnRjIvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GOVEnbm9ybWFsRic= , LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYmLUkjbWlHRiQ2JlEiZkYnLyUnZmFtaWx5R1EoQ2FtYnJpYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GLzYmUSIzRidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy9JK21zZW1hbnRpY3NHRiRRJ2F0b21pY0YnRjIvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GOVEnbm9ybWFsRic= og LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYmLUklbXN1YkdGJDYmLUkjbWlHRiQ2JlEiZkYnLyUnZmFtaWx5R1EoQ2FtYnJpYUYnLyUnaXRhbGljR1EldHJ1ZUYnLyUsbWF0aHZhcmlhbnRHUSdpdGFsaWNGJy1GLzYmUSI0RidGMkY1RjgvJS9zdWJzY3JpcHRzaGlmdEdRIjBGJy9JK21zZW1hbnRpY3NHRiRRJ2F0b21pY0YnRjIvJStleGVjdXRhYmxlR1EmZmFsc2VGJy9GOVEnbm9ybWFsRic=.JSFH%;a) Bestem fortegnene for LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2J1EiYUYnLyUnZmFtaWx5R1EoQ2FtYnJpYUYnLyUlc2l6ZUdRIzE0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRi9GMi8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0Y5USdub3JtYWxGJw==, b og LUklbXJvd0c2Iy9JK21vZHVsZW5hbWVHNiJJLFR5cGVzZXR0aW5nR0koX3N5c2xpYkdGJzYnLUkjbWlHRiQ2J1EiY0YnLyUnZmFtaWx5R1EoQ2FtYnJpYUYnLyUlc2l6ZUdRIzE0RicvJSdpdGFsaWNHUSV0cnVlRicvJSxtYXRodmFyaWFudEdRJ2l0YWxpY0YnRi9GMi8lK2V4ZWN1dGFibGVHUSZmYWxzZUYnL0Y5USdub3JtYWxGJw== for hvert af de fire andengradspolynomier. 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 g\303\246lder, at 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