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Wiskunde 1 samenvatting examencommissie 3ASO 2019

6 reviews
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  • Course
  • Wiskunde
  • Institution
  • Artesis Hogeschool Antwerpen (Artesis)
  • Book
  • Van basis tot limiet - leerboek meetkunde 2

Wiskunde 1 samenvatting examencommissie 3ASO 2019 Basis : Rekenregels Machten Haakjesregel Vierkantswortels Veeltermen Bespreken van functies: Domein en bereik algemeen Domein Bereik Nulpunten berekenen Tekenverloop Functieverloop Functiewaardentabel Even/oneven functies Eerstegraadsfuncties: Voorb...

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  • Yes
  • March 13, 2019
  • 50
  • 2018/2019
  • Summary

Subjects

  • wiskunde 3aso
  • bespreken van functies
  • differentiequotiënt
  • veeltermfuncties
  • ontbinden in factoren
  • eerste en tweedegraadsfuncties
  • tweedegraadsvergelijkingen
  • rationale irrationale en exponentiële functies

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  • Artesis Hogeschool Antwerpen (Artesis)
  • Wetenschappen-Wiskunde
  • Wiskunde
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3ASO

2019

,INHOUD

Basis ................................................................................................................................................................ 7
Rekenregels ............................................................................................................................................... 7
Machten ................................................................................................................................................ 7
Haakjesregel ......................................................................................................................................... 7
Vierkantswortels .................................................................................................................................... 7
Veeltermen............................................................................................................................................ 8
Bespreken van functies........................................................................................................................... 8
Domein en bereik algemeen ............................................................................................................ 8
Domein ................................................................................................................................................... 8
Bereik ...................................................................................................................................................... 9
Nulpunten berekenen ......................................................................................................................... 9
Tekenverloop ........................................................................................................................................ 9
Functieverloop ...................................................................................................................................... 9
Functiewaardentabel ......................................................................................................................... 9
Even/oneven functies ......................................................................................................................... 9
Eerstegraadsfuncties ............................................................................................................................. 10
Voorbeeld ........................................................................................................................................... 10
Grafiek .................................................................................................................................................. 10
Functievoorschrift ............................................................................................................................... 10
Domein en bereik............................................................................................................................... 10
Nulpunt ................................................................................................................................................. 10
Tekenverloop ...................................................................................................................................... 10
Extrema ................................................................................................................................................ 11
Symmetrie ............................................................................................................................................ 11
Differentiequotiënt (=richtingscoëfficiËnt) berkenen .................................................................. 11
Functievoorschrift bepalen uit grafiek ........................................................................................... 11
Snijpunten ............................................................................................................................................ 11
Tweedegraadsfunties ........................................................................................................................... 11
Voorbeeld ........................................................................................................................................... 11
Grafiek .................................................................................................................................................. 12
Functievoorschrift ............................................................................................................................... 12
Top ........................................................................................................................................................ 12
Symmetrie ............................................................................................................................................ 12
Domein ................................................................................................................................................. 12
Bereik .................................................................................................................................................... 12


pag. 1

, Stijgen/dalen ....................................................................................................................................... 12
Minimum/maximum (extrema) ....................................................................................................... 12
Nulwaarden ........................................................................................................................................ 13
Tekenverloop ...................................................................................................................................... 13
Transformeren ..................................................................................................................................... 13
Tweedegraadsvergelijkingen .............................................................................................................. 14
Vorm 1 .................................................................................................................................................. 14
Vorm 2 .................................................................................................................................................. 14
Vorm 3 .................................................................................................................................................. 14
Vorm 4 .................................................................................................................................................. 14
Differentiequotiënt................................................................................................................................. 15
Methode 1: gegeven grafiek .......................................................................................................... 15
Methode 2: gegeven functievoorschrift ...................................................................................... 15
Veeltermfuncties........................................................................................................................................ 15
Algemeen................................................................................................................................................ 15
Grafiek .................................................................................................................................................. 15
Functievoorschrift ............................................................................................................................... 15
Domein ................................................................................................................................................. 15
Bereik .................................................................................................................................................... 15
Nulwaarden ........................................................................................................................................ 15
Functiewaardetabel ......................................................................................................................... 15
Tekenverloop ...................................................................................................................................... 16
Stijgen/dalen ....................................................................................................................................... 16
Symmetrie ............................................................................................................................................ 16
Ontbinden in factoren .......................................................................................................................... 16
Schema ontbinden in factoren ....................................................................................................... 16
Regel van Horner ............................................................................................................................... 17
Rationale functies ...................................................................................................................................... 18
Functievoorschrift ............................................................................................................................... 18
Homografische functie ..................................................................................................................... 18
Euclidische deling .............................................................................................................................. 19
Asymptoten ......................................................................................................................................... 20
Notaties ................................................................................................................................................ 20
Domein ................................................................................................................................................. 20
Bereik .................................................................................................................................................... 20
Transformaties ..................................................................................................................................... 20
Voorschrift bepalen ........................................................................................................................... 22

pag. 2

, Irrationale functies ..................................................................................................................................... 22
Voorschrift ............................................................................................................................................ 22
Domein ................................................................................................................................................. 22
Nulwaarden ........................................................................................................................................ 22
Tekenverloop ...................................................................................................................................... 23
Functieverloop (stijgen/dalen) ........................................................................................................ 23
Asymptoten ......................................................................................................................................... 23
Exponentiële functies ................................................................................................................................ 23
Algemeen................................................................................................................................................ 23
Functievoorschrift ............................................................................................................................... 23
Domein ................................................................................................................................................. 23
Bereik .................................................................................................................................................... 23
Stijgen/dalen en grafiek ................................................................................................................... 24
Asymptoot ........................................................................................................................................... 24
Transformaties ..................................................................................................................................... 24
Andere vormen ...................................................................................................................................... 25
Voorbeeld 1 ........................................................................................................................................ 25
Voorbeeld 2 ........................................................................................................................................ 25
Voorbeeld 3 ........................................................................................................................................ 25
Exponentiële verbanden...................................................................................................................... 25
Exponentiële groei ............................................................................................................................. 25
Exponentiële daling ........................................................................................................................... 26
Exponentiële groei en daling onderscheiden .............................................................................. 27
Groeifactor aanpassen .................................................................................................................... 27
Gegevens afleiden uit functiewaardetabel ................................................................................ 27
Lineaire groei ...................................................................................................................................... 28
Exponentiële groei ............................................................................................................................. 28
Interest .................................................................................................................................................. 28
Exponentiële vergelijkingen ................................................................................................................. 28
Rekenregels ......................................................................................................................................... 28
Oplossen van exponentiële vergelijkingen ................................................................................... 28
Logaritmische functies .............................................................................................................................. 29
Logaritmes ............................................................................................................................................... 29
Algemeen ............................................................................................................................................ 29
Rekenregels ......................................................................................................................................... 29
Rekenmachine ................................................................................................................................... 29
Logaritmische funties............................................................................................................................. 29

pag. 3

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