Funktioner - Matematik
Funktioner - Matematik
Funktioner - Matematik
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Indholdsfortegnelse<br />
Sammenhænge mellem variable............................................................................................95<br />
Eksempler på variable..................................................................................................96<br />
Koordinatsystemet............................................................................................100<br />
Det almindelige retvinklede koordinatsystem..............................................100<br />
Regneforskrift....................................................................................................102<br />
Om funktioner...................................................................................................103<br />
Definition af funktionsbegreber......................................................................104<br />
<strong>Funktioner</strong>: Grundbegreber.......................................................................................106<br />
Eksempel: Udvikling i antal beskæftigede.....................................................106<br />
Oversigt: Vigtige funktionstyper...............................................................................110<br />
Lineære funktioner............................................................................................110<br />
Eksponentielle funktioner................................................................................111<br />
Potensfunktioner...............................................................................................114<br />
Råd om tegning af grafer..................................................................................116<br />
<strong>Funktioner</strong>, ligninger mv............................................................................................118<br />
Regneark.................................................................................................................................119<br />
Lav et regneark............................................................................................................121<br />
Åbn (kør) Excel..................................................................................................121<br />
Diagram..............................................................................................................125<br />
Grafer i regneark..........................................................................................................127<br />
Millimeterpapir..................................................................................................127<br />
Enkeltlogaritmisk papir....................................................................................128<br />
Dobbeltlogaritmisk papir.................................................................................129<br />
Lineære funktioner................................................................................................................133<br />
Introduktion.................................................................................................................134<br />
Definitioner........................................................................................................137<br />
Flaske-Peter........................................................................................................137<br />
Taxaturen igen...................................................................................................139<br />
Ligning................................................................................................................139<br />
Sætning: Forskriften for en lineær funktion...................................................140<br />
Den omvendte sætning.....................................................................................141<br />
Sætning: Beregning af a....................................................................................142<br />
Hældningskoefficienten ..................................................................................143<br />
Eksempel: Beregning af a og b ........................................................................144<br />
Beregning af a og b ...........................................................................................144<br />
Eksempel: Fra observation til model...............................................................145<br />
Regel om tendenslinjer.....................................................................................146<br />
Den lineære funktion: Oversigt og regler.................................................................149<br />
93
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