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Version 2008, 1.005 19-01-09, , D:\AppServ\www\08\f16.odt Inkl eksp.kap – rettet Inkl. rentesregning Side 91-176 inkl (86 sider) Potensregning mangler; tilføjet; nye opg. og eks tilføjet ● rettet øvelse 2-tabel
Indholdsfortegnelse Sammenhænge mellem variable............................................................................................95 Eksempler på variable..................................................................................................96 Koordinatsystemet............................................................................................100 Det almindelige retvinklede koordinatsystem..............................................100 Regneforskrift....................................................................................................102 Om funktioner...................................................................................................103 Definition af funktionsbegreber......................................................................104 <strong>Funktioner</strong>: Grundbegreber.......................................................................................106 Eksempel: Udvikling i antal beskæftigede.....................................................106 Oversigt: Vigtige funktionstyper...............................................................................110 Lineære funktioner............................................................................................110 Eksponentielle funktioner................................................................................111 Potensfunktioner...............................................................................................114 Råd om tegning af grafer..................................................................................116 <strong>Funktioner</strong>, ligninger mv............................................................................................118 Regneark.................................................................................................................................119 Lav et regneark............................................................................................................121 Åbn (kør) Excel..................................................................................................121 Diagram..............................................................................................................125 Grafer i regneark..........................................................................................................127 Millimeterpapir..................................................................................................127 Enkeltlogaritmisk papir....................................................................................128 Dobbeltlogaritmisk papir.................................................................................129 Lineære funktioner................................................................................................................133 Introduktion.................................................................................................................134 Definitioner........................................................................................................137 Flaske-Peter........................................................................................................137 Taxaturen igen...................................................................................................139 Ligning................................................................................................................139 Sætning: Forskriften for en lineær funktion...................................................140 Den omvendte sætning.....................................................................................141 Sætning: Beregning af a....................................................................................142 Hældningskoefficienten ..................................................................................143 Eksempel: Beregning af a og b ........................................................................144 Beregning af a og b ...........................................................................................144 Eksempel: Fra observation til model...............................................................145 Regel om tendenslinjer.....................................................................................146 Den lineære funktion: Oversigt og regler.................................................................149 93
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